%!PS-Adobe-2.0 %%Creator: dvips(k) 2020.1 Copyright 2020 Radical Eye Software %%Title: arXiv:2109.00709v2 [cs.IT] 9 Sep 2021 %%CreationDate: Sat Oct 9 08:43:43 2021 %%Pages: 8 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %%BeginDefaults %%ViewingOrientation: 1 0 0 1 %%EndDefaults %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R2 -P pk -z entro2.dvi -o %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2021.10.09:0843 %%BeginProcSet: texc.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat {BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B /M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ 0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: psfrag.pro 0 0 %% %% This is file `psfrag.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% psfrag.dtx (with options: `filepro') %% %% Copyright (c) 1996 Craig Barratt, Michael C. Grant, and David Carlisle. %% All rights reserved. %% %% This file is part of the PSfrag package. %% userdict begin /PSfragLib 90 dict def /PSfragDict 6 dict def /PSfrag { PSfragLib begin load exec end } bind def end PSfragLib begin /RO /readonly load def /CP /currentpoint load def /CM /currentmatrix load def /B { bind RO def } bind def /X { exch def } B /MD { { X } forall } B /OE { end exec PSfragLib begin } B /S false def /tstr 8 string def /islev2 { languagelevel } stopped { false } { 2 ge } ifelse def [ /sM /tM /srcM /dstM /dM /idM /srcFM /dstFM ] { matrix def } forall sM currentmatrix RO pop dM defaultmatrix RO idM invertmatrix RO pop srcFM identmatrix pop /Hide { gsave { CP } stopped not newpath clip { moveto } if } B /Unhide { { CP } stopped not grestore { moveto } if } B /setrepl islev2 {{ /glob currentglobal def true setglobal array astore globaldict exch /PSfrags exch put glob setglobal }} {{ array astore /PSfrags X }} ifelse B /getrepl islev2 {{ globaldict /PSfrags get aload length }} {{ PSfrags aload length }} ifelse B /convert { /src X src length string /c 0 def src length { dup c src c get dup 32 lt { pop 32 } if put /c c 1 add def } repeat } B /Begin { /saver save def srcFM exch 3 exch put 0 ne /debugMode X 0 setrepl dup /S exch dict def { S 3 1 roll exch convert exch put } repeat srcM CM dup invertmatrix pop mark { currentdict { end } stopped { pop exit } if } loop PSfragDict counttomark { begin } repeat pop } B /End { mark { currentdict end dup PSfragDict eq { pop exit } if } loop counttomark { begin } repeat pop getrepl saver restore 7 idiv dup /S exch dict def { 6 array astore /mtrx X tstr cvs /K X S K [ S K known { S K get aload pop } if mtrx ] put } repeat } B /Place { tstr cvs /K X S K known { bind /proc X tM CM pop CP /cY X /cX X 0 0 transform idtransform neg /aY X neg /aX X S K get dup length /maxiter X /iter 1 def { iter maxiter ne { /saver save def } if tM setmatrix aX aY translate [ exch aload pop idtransform ] concat cX neg cY neg translate cX cY moveto /proc load OE iter maxiter ne { saver restore /iter iter 1 add def } if } forall /noXY { CP /cY X /cX X } stopped def tM setmatrix noXY { newpath } { cX cY moveto } ifelse } { Hide OE Unhide } ifelse } B /normalize { 2 index dup mul 2 index dup mul add sqrt div dup 4 -1 roll exch mul 3 1 roll mul } B /replace { aload pop MD CP /bY X /lX X gsave sM setmatrix str stringwidth abs exch abs add dup 0 eq { pop } { 360 exch div dup scale } ifelse lX neg bY neg translate newpath lX bY moveto str { /ch X ( ) dup 0 ch put false charpath ch Kproc } forall flattenpath pathbbox [ /uY /uX /lY /lX ] MD CP grestore moveto currentfont /FontMatrix get dstFM copy dup 0 get 0 lt { uX lX /uX X /lX X } if 3 get 0 lt { uY lY /uY X /lY X } if /cX uX lX add 0.5 mul def /cY uY lY add 0.5 mul def debugMode { gsave 0 setgray 1 setlinewidth lX lY moveto lX uY lineto uX uY lineto uX lY lineto closepath lX bY moveto uX bY lineto lX cY moveto uX cY lineto cX lY moveto cX uY lineto stroke grestore } if dstFM dup invertmatrix dstM CM srcM 2 { dstM concatmatrix } repeat pop getrepl /temp X S str convert get { aload pop [ /rot /scl /loc /K ] MD /aX cX def /aY cY def loc { dup 66 eq { /aY bY def } { % B dup 98 eq { /aY lY def } { % b dup 108 eq { /aX lX def } { % l dup 114 eq { /aX uX def } { % r dup 116 eq { /aY uY def } % t if } ifelse } ifelse } ifelse } ifelse pop } forall K srcFM rot tM rotate dstM 2 { tM concatmatrix } repeat aload pop pop pop 2 { scl normalize 4 2 roll } repeat aX aY transform /temp temp 7 add def } forall temp setrepl } B /Rif { S 3 index convert known { pop replace } { exch pop OE } ifelse } B /XA { bind [ /Kproc /str } B /XC { ] 2 array astore def } B /xs { pop } XA XC /xks { /kern load OE } XA /kern XC /xas { pop ax ay rmoveto } XA /ay /ax XC /xws { c eq { cx cy rmoveto } if } XA /c /cy /cx XC /xaws { ax ay rmoveto c eq { cx cy rmoveto } if } XA /ay /ax /c /cy /cx XC /raws { xaws { awidthshow } Rif } B /rws { xws { widthshow } Rif } B /rks { xks { kshow } Rif } B /ras { xas { ashow } Rif } B /rs { xs { show } Rif } B /rrs { getrepl dup 2 add -1 roll //restore exec setrepl } B PSfragDict begin islev2 not { /restore { /rrs PSfrag } B } if /show { /rs PSfrag } B /kshow { /rks PSfrag } B /ashow { /ras PSfrag } B /widthshow { /rws PSfrag } B /awidthshow { /raws PSfrag } B end PSfragDict RO pop end %%EndProcSet %%BeginProcSet: l3backend-dvips.pro 0 0 %% %% This is file `l3backend-dvips.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% l3backend-header.dtx (with options: `header,dvips') %% %% Copyright (C) 1990-2020 The LaTeX3 Project %% %% It may be distributed and/or modified under the conditions of %% the LaTeX Project Public License (LPPL), either version 1.3c of %% this license or (at your option) any later version. The latest %% version of this license is in the file: %% %% https://www.latex-project.org/lppl.txt %% %% This file is part of the "l3backend bundle" (The Work in LPPL) %% and all files in that bundle must be distributed together. %% %% File: l3backend-header.dtx /color.sc { } def /color.fc { } def TeXDict begin /TeXcolorseparation { setcolor } def end true setglobal /pdf.globaldict 4 dict def false setglobal /pdf.cvs { 65534 string cvs } def /pdf.dvi.pt { 72.27 mul Resolution div } def /pdf.pt.dvi { 72.27 div Resolution mul } def /pdf.rect.ht { dup 1 get neg exch 3 get add } def /pdf.linkmargin { 1 pdf.pt.dvi } def /pdf.linkdp.pad { 0 } def /pdf.linkht.pad { 0 } def /pdf.rect { /Rect [ pdf.llx pdf.lly pdf.urx pdf.ury ] } def /pdf.save.ll { currentpoint /pdf.lly exch def /pdf.llx exch def } def /pdf.save.ur { currentpoint /pdf.ury exch def /pdf.urx exch def } def /pdf.save.linkll { currentpoint pdf.linkmargin add pdf.linkdp.pad add /pdf.lly exch def pdf.linkmargin sub /pdf.llx exch def } def /pdf.save.linkur { currentpoint pdf.linkmargin sub pdf.linkht.pad sub /pdf.ury exch def pdf.linkmargin add /pdf.urx exch def } def /pdf.dest.anchor { currentpoint exch pdf.dvi.pt 72 add /pdf.dest.x exch def pdf.dvi.pt vsize 72 sub exch sub /pdf.dest.y exch def } def /pdf.dest.point { pdf.dest.x pdf.dest.y } def /pdf.dest2device { /pdf.dest.y exch def /pdf.dest.x exch def matrix currentmatrix matrix defaultmatrix matrix invertmatrix matrix concatmatrix cvx exec /pdf.dev.y exch def /pdf.dev.x exch def /pdf.tmpd exch def /pdf.tmpc exch def /pdf.tmpb exch def /pdf.tmpa exch def pdf.dest.x pdf.tmpa mul pdf.dest.y pdf.tmpc mul add pdf.dev.x add pdf.dest.x pdf.tmpb mul pdf.dest.y pdf.tmpd mul add pdf.dev.y add } def /pdf.bordertracking false def /pdf.bordertracking.begin { SDict /pdf.bordertracking true put SDict /pdf.leftboundary undef SDict /pdf.rightboundary undef /a where { /a { currentpoint pop SDict /pdf.rightboundary known dup { SDict /pdf.rightboundary get 2 index lt { not } if } if { pop } { SDict exch /pdf.rightboundary exch put } ifelse moveto currentpoint pop SDict /pdf.leftboundary known dup { SDict /pdf.leftboundary get 2 index gt { not } if } if { pop } { SDict exch /pdf.leftboundary exch put } ifelse } put } if } def /pdf.bordertracking.end { /a where { /a { moveto } put } if /x where { /x { 0 exch rmoveto } put } if SDict /pdf.leftboundary known { pdf.outerbox 0 pdf.leftboundary put } if SDict /pdf.rightboundary known { pdf.outerbox 2 pdf.rightboundary put } if SDict /pdf.bordertracking false put } def /pdf.bordertracking.endpage { pdf.bordertracking { pdf.bordertracking.end true setglobal pdf.globaldict /pdf.brokenlink.rect [ pdf.outerbox aload pop ] put pdf.globaldict /pdf.brokenlink.skip pdf.baselineskip put pdf.globaldict /pdf.brokenlink.dict pdf.link.dict pdf.cvs put false setglobal mark pdf.link.dict cvx exec /Rect [ pdf.llx pdf.lly pdf.outerbox 2 get pdf.linkmargin add currentpoint exch pop pdf.outerbox pdf.rect.ht sub pdf.linkmargin sub ] /ANN pdf.pdfmark } if } def /pdf.bordertracking.continue { /pdf.link.dict pdf.globaldict /pdf.brokenlink.dict get def /pdf.outerbox pdf.globaldict /pdf.brokenlink.rect get def /pdf.baselineskip pdf.globaldict /pdf.brokenlink.skip get def pdf.globaldict dup dup /pdf.brokenlink.dict undef /pdf.brokenlink.skip undef /pdf.brokenlink.rect undef currentpoint /pdf.originy exch def /pdf.originx exch def /a where { /a { moveto SDict begin currentpoint pdf.originy ne exch pdf.originx ne or { pdf.save.linkll /pdf.lly pdf.lly pdf.outerbox 1 get sub def pdf.bordertracking.begin } if end } put } if /x where { /x { 0 exch rmoveto SDict begin currentpoint pdf.originy ne exch pdf.originx ne or { pdf.save.linkll /pdf.lly pdf.lly pdf.outerbox 1 get sub def pdf.bordertracking.begin } if end } put } if } def /pdf.breaklink { pop counttomark 2 mod 0 eq { counttomark /pdf.count exch def { pdf.count 0 eq { exit } if counttomark 2 roll 1 index /Rect eq { dup 4 array copy dup dup 1 get pdf.outerbox pdf.rect.ht pdf.linkmargin 2 mul add sub 3 exch put dup pdf.outerbox 2 get pdf.linkmargin add 2 exch put dup dup 3 get pdf.outerbox pdf.rect.ht pdf.linkmargin 2 mul add add 1 exch put /pdf.currentrect exch def pdf.breaklink.write { pdf.currentrect dup pdf.outerbox 0 get pdf.linkmargin sub 0 exch put dup pdf.outerbox 2 get pdf.linkmargin add 2 exch put dup dup 1 get pdf.baselineskip add 1 exch put dup dup 3 get pdf.baselineskip add 3 exch put /pdf.currentrect exch def pdf.breaklink.write } 1 index 3 get pdf.linkmargin 2 mul add pdf.outerbox pdf.rect.ht add 2 index 1 get sub pdf.baselineskip div round cvi 1 sub exch repeat pdf.currentrect dup pdf.outerbox 0 get pdf.linkmargin sub 0 exch put dup dup 1 get pdf.baselineskip add 1 exch put dup dup 3 get pdf.baselineskip add 3 exch put dup 2 index 2 get 2 exch put /pdf.currentrect exch def pdf.breaklink.write SDict /pdf.pdfmark.good false put exit } { pdf.count 2 sub /pdf.count exch def } ifelse } loop } if /ANN } def /pdf.breaklink.write { counttomark 1 sub index /_objdef eq { counttomark -2 roll dup wcheck { readonly counttomark 2 roll } { pop pop } ifelse } if counttomark 1 add copy pop pdf.currentrect /ANN pdfmark } def /pdf.pdfmark { SDict /pdf.pdfmark.good true put dup /ANN eq { pdf.pdfmark.store pdf.pdfmark.dict begin Subtype /Link eq currentdict /Rect known and SDict /pdf.outerbox known and SDict /pdf.baselineskip known and { Rect 3 get pdf.linkmargin 2 mul add pdf.outerbox pdf.rect.ht add Rect 1 get sub pdf.baselineskip div round cvi 0 gt { pdf.breaklink } if } if end SDict /pdf.outerbox undef SDict /pdf.baselineskip undef currentdict /pdf.pdfmark.dict undef } if pdf.pdfmark.good { pdfmark } { cleartomark } ifelse } def /pdf.pdfmark.store { /pdf.pdfmark.dict 65534 dict def counttomark 1 add copy pop { dup mark eq { pop exit } { pdf.pdfmark.dict begin def end } ifelse } loop } def %% %% %% End of file `l3backend-dvips.pro'. %%EndProcSet %%BeginProcSet: special.pro 0 0 %! TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup} ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N /erasepage{}N/setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{ count ocount sub{pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N /@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X /yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet %%BeginProcSet: color.pro 0 0 %! TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll }repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC /Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end %%EndProcSet %%BeginProcSet: hps.pro 0 0 %! /HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub 1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch} ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1 roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup /TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true }{pop(target unknown:)print == false}ifelse}{pop pop (target dictionary unknown\012)print false}ifelse}bind def/savecount 0 def/stackstopped{count counttomark sub/savecount exch store stopped count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def /tempstring 128 string def/targetvalidate{1 index dup length 127 gt exch tempstring cvs dup(/)search{pop pop pop exch pop true exch}{pop}ifelse token{pop length 0 ne}{true}ifelse or not}bind def/targetdump-hook where {pop}{/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2 roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch /FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def /externalhack systemdict/PDF known def/oldstyle true def/initmat matrix currentmatrix def/actiondict 2 dict dup/Subtype/URI put def /weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1 roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{ /HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch} ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse} ifelse counttomark 2 sub -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll /Color exch oldstyle{/LNK}{/Subtype/Link/ANN}ifelse gsave initmat setmatrix{pdfmark}stackstopped grestore}bind def/externalhandler where{ pop}{/externalhandler{2 copy{weblinkhandler}exec{/externalhack externalhack not store 2 copy{weblinkhandler}exec{/externalhack externalhack not store/oldstyle false store 2 copy{weblinkhandler}exec{ (WARNING: external refs disabled\012)print/externalhandler{pop pop}bind store externalhandler}{pop pop}ifelse}{pop pop/externalhack externalhack not store}ifelse}{pop pop/externalhandler{weblinkhandler pop}bind store} ifelse}bind def}ifelse/pdfmnew{dup type/stringtype eq{externalhandler}{ exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll/Color exch/LNK gsave initmat setmatrix pdfmark grestore}{pop pop}ifelse}ifelse}bind def/pdfmold{dup type/stringtype eq{externalhandler}{exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll aload pop pop 0 3 getinterval /Rect 3 1 roll/Border exch/LNK gsave initmat setmatrix pdfmark grestore} {pop pop}ifelse}ifelse}bind def/pdfm where{pop}{/pdfm /currentdistillerparams where{pop currentdistillerparams dup /CoreDistVersion known{/CoreDistVersion get}{0}ifelse dup braindeaddistill le{(WARNING: switching to old pdfm because version =) print ==/pdfmold}{pop/pdfmnew}ifelse load}{/pdfmark where{pop{dup type /stringtype eq{externalhandler}{2 copy mark 3 1 roll{pdfmnew} stackstopped{2 copy mark 3 1 roll{pdfmold}stackstopped{ (WARNING: pdfm disabled\012)print/pdfm{pop pop}store}{ (WARNING: new pdfm failed, switching to old pdfm\012)print/pdfm/pdfmold load store}ifelse}{/pdfm/pdfmnew load store}ifelse pop pop}ifelse}}{{ pop pop}}ifelse}ifelse bind def}ifelse end def %%EndProcSet TeXDict begin @defspecial systemdict /pdfmark known{userdict /?pdfmark systemdict /exec get put}{userdict /?pdfmark systemdict /pop get put userdict /pdfmark systemdict /cleartomark get put}ifelse /DvipsToPDF{72.27 mul Resolution div} def/PDFToDvips{72.27 div Resolution mul} def/BPToDvips{72 div Resolution mul}def product (Ghostscript) search {pop pop pop revision 927 gt}{pop false} ifelse{/BorderArrayPatch{} def}{/BorderArrayPatch{[exch{dup dup type/integertype eq exch type/realtype eq or{BPToDvips}if}forall]}def} ifelse /HyperBorder {1 PDFToDvips} def/H.V {pdf@hoff pdf@voff null} def/H.B {/Rect[pdf@llx pdf@lly pdf@urx pdf@ury]} def/H.S {currentpoint HyperBorder add /pdf@lly exch def dup DvipsToPDF 72 add /pdf@hoff exch def HyperBorder sub /pdf@llx exch def} def/H.L {2 sub dup/HyperBasePt exch def PDFToDvips /HyperBaseDvips exch def currentpoint HyperBaseDvips sub /pdf@ury exch def/pdf@urx exch def} def/H.A {H.L currentpoint exch pop vsize 72 sub exch DvipsToPDF HyperBasePt sub sub /pdf@voff exch def} def/H.R {currentpoint HyperBorder sub /pdf@ury exch def HyperBorder add /pdf@urx exch def currentpoint exch pop vsize 72 sub exch DvipsToPDF sub /pdf@voff exch def} def @fedspecial end TeXDict begin 40258437 52099151 1000 600 600 (entro2.dvi) @start %DVIPSBitmapFont: Fa msbm10 8 1 [/lessornotequal/greaterornotequal/notlessequal/notgreaterequal/notless /notgreater/notprecedes/notfollows/lessornotdbleql/greaterornotdbleql /notlessorslnteql/notgreaterorslnteql/lessnotequal/greaternotequal /notprecedesoreql/notfollowsoreql/precedeornoteqvlnt/followornoteqvlnt /lessornotsimilar/greaterornotsimilar/notlessdblequal/notgreaterdblequal /precedenotslnteql/follownotslnteql/precedenotdbleqv/follownotdbleqv /lessnotdblequal/greaternotdblequal/notsimilar/notapproxequal/upslope /downslope/notsubsetoreql/notsupersetoreql/notsubsetordbleql /notsupersetordbleql/subsetornotdbleql/supersetornotdbleql/subsetornoteql /supersetornoteql/subsetnoteql/supersetnoteql/notsubseteql/notsuperseteql /notparallel/notbar/notshortbar/notshortparallel/notturnstile/notforces /notsatisfies/notforcesextra/nottriangeqlright/nottriangeqlleft /nottriangleleft/nottriangleright/notarrowleft/notarrowright/notdblarrowleft /notdblarrowright/notdblarrowboth/notarrowboth/dividemultiply/emptyset /notexistential/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/hatwide /hatwider/tildewide/tildewider/.notdef/Finv/Gmir 4{/.notdef}repeat/Omegainv /eth/equalorsimilar/beth/gimel/daleth/lessdot/greaterdot/multicloseleft /multicloseright/barshort/parallelshort/integerdivide/similar/approxequal /approxorequal/followsorequal/precedesorequal/archleftdown/archrightdown /Digamma/kappa/k/planckover2pi/planckover2pi1/epsiloninv 128{/.notdef}repeat ] A/EN0 X IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-5 -31 156 61]N /Fa 1 83 df<B612F015FF3A0C01C07FC03A06030018F0ED0C38ED060C826F7EA2EE0180 A6EE0300A2ED06065EED0C38ED39F091380FFFC0DAFFFEC7FCECF830EC18186E7EA26E7E 8114039138018180ED80C0EC00C01660ED6030A26F7E6F7E82150C829238060180923803 00C0260C01801460B539FC01FFFC812E2E7FAD2F>82 D E /Fa load 0 Fa currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fb cmss8 8 1 [/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon/Phi/Psi/Omega/ff/fi/fl/ffi /ffl/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring/cedilla /germandbls/ae/oe/oslash/AE/OE/Oslash/suppress/exclam/quotedblright /numbersign/dollar/percent/ampersand/quoteright/parenleft/parenright /asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six /seven/eight/nine/colon/semicolon/exclamdown/equal/questiondown/question/at /A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft /quotedblleft/bracketright/circumflex/dotaccent/quoteleft/a/b/c/d/e/f/g/h/i /j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash/hungarumlaut/tilde/dieresis 128{/.notdef}repeat] A/EN1 X IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-5 -19 71 50]N /Fb 1 85 df<B812E0A5C7D83F80C7FCB3B3A52B2E7EAD30>84 D E /Fb load 0 Fb currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fc cmsy6 6 1 [/minus/periodcentered/multiply/asteriskmath/divide/diamondmath/plusminus /minusplus/circleplus/circleminus/circlemultiply/circledivide/circledot /circlecopyrt/openbullet/bullet/equivasymptotic/equivalence/reflexsubset /reflexsuperset/lessequal/greaterequal/precedesequal/followsequal/similar /approxequal/propersubset/propersuperset/lessmuch/greatermuch/precedes /follows/arrowleft/arrowright/arrowup/arrowdown/arrowboth/arrownortheast /arrowsoutheast/similarequal/arrowdblleft/arrowdblright/arrowdblup /arrowdbldown/arrowdblboth/arrownorthwest/arrowsouthwest/proportional/prime /infinity/element/owner/triangle/triangleinv/negationslash/mapsto/universal /existential/logicalnot/emptyset/Rfractur/Ifractur/latticetop/perpendicular /aleph/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/union /intersection/unionmulti/logicaland/logicalor/turnstileleft/turnstileright /floorleft/floorright/ceilingleft/ceilingright/braceleft/braceright /angbracketleft/angbracketright/bar/bardbl/arrowbothv/arrowdblbothv /backslash/wreathproduct/radical/coproduct/nabla/integral/unionsq /intersectionsq/subsetsqequal/supersetsqequal/section/dagger/daggerdbl /paragraph/club/diamond/heart/spade 128{/.notdef}repeat] A/EN2 X IEn S/IEn X FBB FMat/FMat[0.02 0 0 -0.02 0 0]N/FBB[-2 -49 66 40]N /Fc 1 1 df<B712C0A322037A8D30>0 D E /Fc load 0 Fc currentfont 50 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fd cmr6 6 3 /EN1 load IEn S/IEn X FBB FMat/FMat[0.02 0 0 -0.02 0 0]N/FBB[-3 -14 60 37]N /Fd 3 51 df<13FF000313C0380781E0380F00F0001E137848133CA248131EA400F8131F AD0078131EA2007C133E003C133CA26C13786C13F0380781E03803FFC0C6130018227DA0 1E>48 D<137013F0120712FFA212F91201B3A6B512E0A313217AA01E>I<EA01FC380FFF 804813C0383C0FE0387003F0387C01F8EAFE0014FCA2147C127C003813FCC7FC14F81301 14F0EB03E0EB07C01480EB0F00131E13385B3801E01CEA038038070038120E5A383FFFF8 5AB512F0A316217CA01E>I E /Fd load 0 Fd currentfont 50 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fe cmmi6 6 3 [/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon/Phi/Psi/Omega/alpha/beta /gamma/delta/epsilon1/zeta/eta/theta/iota/kappa/lambda/mu/nu/xi/pi/rho/sigma /tau/upsilon/phi/chi/psi/omega/epsilon/theta1/pi1/rho1/sigma1/phi1 /arrowlefttophalf/arrowleftbothalf/arrowrighttophalf/arrowrightbothalf /arrowhookleft/arrowhookright/triangleright/triangleleft/zerooldstyle /oneoldstyle/twooldstyle/threeoldstyle/fouroldstyle/fiveoldstyle/sixoldstyle /sevenoldstyle/eightoldstyle/nineoldstyle/period/comma/less/slash/greater /star/partialdiff/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/flat /natural/sharp/slurbelow/slurabove/lscript/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q /r/s/t/u/v/w/x/y/z/dotlessi/dotlessj/weierstrass/vector/tie 128{/.notdef} repeat] A/EN3 X IEn S/IEn X FBB FMat/FMat[0.02 0 0 -0.02 0 0]N/FBB[-2 -14 61 37]N /Fe 3 117 df<140C141CA21438A21470A314E0A2EB01C0A2EB0380A3EB0700A2130EA3 5BA25BA25BA35BA2485AA3485AA248C7FCA3120EA25AA25AA35AA25AA25A16317CA420> 61 D<001F13FE393F83FF803933C707C03873EC03D863F813E0EAE3F0A213E00007EB07 C013C0A2EC0F80EA0F80A2EC1F0C150ED81F00131C143E15181538003EEB1E70EC0FE000 1CEB07C01F177D9526>110 D<1338137813F8A4485AA4485AB51280A33807C000A4485A A448C7FCA213031480383E0700A2130E5BEA1E38EA0FF0EA07C011217D9F18>116 D E /Fe load 0 Fe currentfont 50 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Ff cmbx12 12 10 /EN1 load IEn S/IEn X FBB FMat/FMat[0.01 0 0 -0.01 0 0]N/FBB[-8 -27 114 75]N /Ff 10 115 df<EA07C0EA1FF0EA3FF8EA7FFCA2EAFFFEA5EA7FFCA2EA3FF8EA1FF0EA07 C00F0F788E1F>46 D<EC01E01407140F143FEB01FF131FB6FCA413E3EA0003B3B3AD007F B612FEA5274178C038>49 D<ECFFE0010F13FE017F6D7E90B612E0000315F82607F8037F 260FE0007FD81F80EB3FFF48C76C138001E06D13C0486C6D13E07F00FF6E13F07F8117F8 A36C5A6C5A6C5A6C5AC8FC17F05D17E0A24B13C0A24B138017004B5A5E4B5AED7FE04B5A 4A5B93C7FCEC03FC4A5AEC0FE04A5A4A4813F84AC7FC14FC495A4948EB01F0495AEB0F80 49C7FC013E140349140790B7FC4816E05A5A5A5A5A5AB8FC17C0A42D417BC038>I<ECFF E0010713FE011FEBFFC0017F14F0D9FF807F3A01FC003FFCD803F06D7E48486D7E01FC15 80487E6D15C05A1480A56C01001480A26C485BD801F81500C85B153F5E4B5A4B5A4A13C0 020F5B902607FFFEC7FC15F815FF16C090C713F0ED3FFC6F7E6F7E6F138017C017E08117 F0A317F8EA0FE0487E487E487E487EA317F0A36C484913E05B4915C06C484913806C4849 1300D80FF0495AD807FEEBFFFC6CB65A6C15E06C6C5C010F49C7FC010113E02D427BC038 >I<BA12F8A485D8001F9038800003EF007F181F180718031801180085197EA3193EA217 F8A285A4040191C7FCA316031607163F92B5FCA5ED803F160716031601A2F103E01600A2 F107C0A494C7FC190FA21A80A2191FA2193FA2197FF1FF006060180F183F0503B5FCBBFC 61A443447DC34A>69 D<B9FC18F018FE727E19E0D8001F902680001F7F05037F05007F72 7E727E721380A21AC084A21AE0A91AC0A24E1380A21A00604E5A4E5A05035B051F5B92B7 12C096C7FC18FC18C00380CAFCB3A7B712F0A543447DC34D>80 D<913801FF80021F13E0 027F13F849B512FC0107138790390FFE0FFED91FFC13FF49485A137F14F013FF14E048EC 0FFEED07FCED03F8ED00E01600AAB612F8A5000101E0C7FCB3B0B612E0A528467DC522> 102 D<EC1FFC49B512C0010714F0011F14FC90397FF80FFF9026FFC0017F48496C7F4890 C76C7E48486E7E000F8249141F001F82A248486E7EA2007F82A400FF1780AA007F1700A4 6C6C4A5AA2001F5EA26C6C4A5A00075E6D147F6C6D495A6CD9E0035B27007FF80F90C7FC 6DB55A010F14F8010114C09026001FFCC8FC312F7DAD38>111 D<DA3FE0131F902603FF FC5B010F01FF5B013F14C0903A7FFC0FE0FF9039FFE003F1489038C000F94849137F4890 C77E5A48488082123F5B127FA35B12FFAA127FA27FA2123FA26C7EA26C6C5C5E6C6D5B6C 92B5FC6CEBE0036C9038F81FEF013FB5128F6D140F010713FC9038007FC091C7FCAD0307 B512FEA537407CAC3B>113 D<90397FC03F80B5EBFFE002C113F802C313FC9138C7C7FE ECCF0700039038CE0FFF6C13DE14FC14F8ED07FEA29138F003FCED00F01600A25CB3A6B6 12F0A5282D7EAC2E>I E /Ff load 0 Ff currentfont 100 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fg cmmib8 8 6 /EN3 load IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-2 -19 85 50]N /Fg 6 123 df<EE0F804C7EA2163F167F8316FF5DA25D5D835D5D163F153E157E157C03 FC7FEC01F8EDF01F1403EC07E015C0020F80158091381F000F5C143E5C02FC8091B6FC5B 5BA2903907C00007130F4A8049C7FC4980133E5B13FC48481680267FFFC0017F13FC93B5 12FEB516FC6C497F37307DAF3D>65 D<ED1FFE0203B512C0021F14F8027F80903A01FFF0 0FFF49D980031380D90FFEC713C0D91FF8EC7FE0495A4948EC3FF0495A4849EC1FF84890 C8FCA2485A120F4916FC121F5B003F17F8A249153F127FA34848ED7FF0A3EFFFE0A218C0 495C18805E18006D4A5A007F90380FC00FDA3FF05B9139FFF81FF8D83FF14A5A3B1FF9F0 7CFFE09026FFE03F13806C496C90C7FC6C9038E03FFC000190B512F06C6CECC004011FEC 800E010114C090C7381FE03EEEFFFCA25F815FA25F6F5B5F6F48C7FCED00F8363C7DAE3D >81 D<011FB612E04915FE717E6D16E00100D9C0007FEF3FF8717E170F495B84A34990C7 485AA34D5A49485D177F4D5A4C13804948010F90C7FC91B612FC17F017804915E09139F8 007FF0163F707E4948130FA283A24948131F5FA34948133FA2F0038019C04849ED0780EF FC0FB500FE011FEB1F00EFFFFE04075B705BCAEA3FE03A2F7CAD3D>I<90393FC00FC090 39FFF81FE000039038FC7FF0489038FEFFF83A0FC0FFF07C391F007FE0003EECC1FE003C 14C35A00F89038FF87FC5A16F8C7EB83F049EB01E092C7FCA3495A121E123FD87F83141C 26FF87FC133CA2167C01071478D8FE0F14F0D8FC1FEB03E03A7C3FFE0FC0D87FFDB51280 D83FF81400391FF03FFE3907C00FF027207D9E2E>120 D<13FCD803FF14784890388001 FC48EBC003261F1FE013FE003EEC07FCEA3C3F1278A23AF07FC00FF8A33800FF80ED1FF0 481300A34848EB3FE0A449EB7FC0A46DEBFF805C3801FF076C90B5FC6D14007FEB07F9EB 00013903C003FEEA0FE0001F495A01F05B4848485A4A5A49485A6C48B45A90B5C7FC6C13 FC000313F0C61380272D7E9E2A>I<D903E013E090381FF80190393FFE03C0EB7FFF90B6 1280481500485C5DECFC7890388000F0C7485AEC07C04A5A021EC7FC147C5CEB01E0EB07 C0495A011EC8FC49EB01C04913034848130FD803E1B5FC48B61280481500485C5DD83E07 5BD878015B486C6C5A021FC7FC23207E9E27>I E /Fg load 0 Fg currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fh cmti10 10.95 41 [/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon/Phi/Psi/Omega/ff/fi/fl/ffi /ffl/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring/cedilla /germandbls/ae/oe/oslash/AE/OE/Oslash/suppress/exclam/quotedblright /numbersign/sterling/percent/ampersand/quoteright/parenleft/parenright /asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six /seven/eight/nine/colon/semicolon/exclamdown/equal/questiondown/question/at /A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft /quotedblleft/bracketright/circumflex/dotaccent/quoteleft/a/b/c/d/e/f/g/h/i /j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash/hungarumlaut/tilde/dieresis 128{/.notdef}repeat] A/EN4 X IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-4 -25 102 68]N /Fh 41 122 df<EE03FF043F13E093B512F8923901FC00FCDB03F0133EDB07C0131F030F 147F4B4813FF153F93C7FC4B14FE18FC037E147803FE1400A34A5AA64A5AA30103B712E0 5BA3903A0007F0000FEF1FC0A24A5AA2EF3F80A34A5AEF7F00A44A4813FEA44C5AEC7F00 A3933803F80E181E14FEA2933807F03CA349481578A20403137018F0933801F1E0494890 3800FFC0EF7F80EF3F0094C7FC495AA35CA2EA1E0F003F5B127F00FF5B131F91CAFC12FE EAF83EEA7C3CEA3FF86C5AEA07C0385383BF33>12 D<EE0FF893397FFF07E04BB5128F92 3903F80FCF923907E003EF92380FC007923A1F800FFFC05FED3F0018DF4B90380FBF80EF 073F03FE1300A2F07F00A24A5AA218FEA34A5A4D5AA30103B7FC495EA3903A0007F00003 4D5A140F5DA24D5AA34A5A4D5AA44A48495AA44DC7FC4AC7FCA39438FE0380180714FEA2 933901FC0F00A34948151EA204005BA20103ED7C784AEC3FF0715A715A94C8FC495AA35C 130F121E003F5B127F00FF5B131F91CBFC12FEEAF83EEA7C3CEA3FF86C5AEA07C03B5383 BF35>I<DC07FCEC7FF893273FFF8003B5FC93B5D8C00F14C0923D01FC07E03FC00FE092 3D03F001F07E0001F0922607C00349EB00F8030F902607F1F8130392281F800FF3F01307 A2033F4A5A93260007C715F04BD9038F15E0DD000FEC03C04E4890C7FC15FEA34E5AA24A 5AA44EC9FC4A5A0103BBFC5BA27F90260007F0C748C77E1BFEA34D5A4A484C5AA44D4849 5A4A5AA3505A4D5A4A5AA2505AA24D5AA24AC792381FC0701CF0A34D4890383F81E014FE A2F383C0604A023F021F13800101198797380F8F00F207FE4DC76C5A4948715A97C8FC17 7E5C17FE01075DA2001E9038E07801003F02FC5B387F0FC100FF01C3495A02835C4C5A3A FE1F03F80F3BF81E01E01F80D87C3CD9F03ECBFC3A3FF800FFFC6C486D5AD807C0EB0FC0 555383BF50>I<EA01E0EA03F0EA07F8120FEA1FFCA313F8120FEA07B8EA0038A21370A2 13E0A2EA01C0A2EA0380A2EA0700120E5A123C5A5A5A12800E1C7A891C>44 D<387FFFF8B5FCA414F01506789621>I<120FEA1F80EA3FC0127F12FFA3EA7F80130012 3C0A0A77891C>I<131E133FEB7F80EBFFC0A2481380A26C1300137E133C90C7FCB3120F 487E487E127F12FFA36C5A90C7FC123C122777A61C>58 D<173C177CA217FEA21601A216 031607A2160FA2161FA2163DA2167916F916F1150116E1923803C1FFA2ED0780A24B5A5D 151E153E153C5DA25DA24A5A14035D14075D4AC7FC844AB6FCA25C5C0278C7127F14F85C 495AA2495AA2495AA249C8FC5B131E133E017E8213FED807FF15FF007F01E0013FEBFF80 B57E4A5B70140039417BC044>65 D<49B712C018F84916FE6D8290280003F80001138094 38007FC0183F19E04A48141F19F0A34A48140F181FA34A4815E0A2183F19C04A48EC7F80 18FF4D1300604AC7EA07FC4D5AEF1FE0EFFFC091B648C7FC17F817FF4AC77F4948EC1FE0 717EA2717E4948811703A284495AA449485D1707A2604948140F60171F4D5A495A4D5A4D 5A040390C7FC49C7485A49EC3FF8007F90B65AB812C094C8FC16F83C3E7BBD40>I<49B8 12F8A25B7F90260003FCC7127F180FF003F0A24A481401A44A5A19E0A34A5A173CA2F003 C04A481378180195C7FC17F84A485B16011603160F91B65AA4903A01FE001FC01607A349 485CF00780A2F00F004948EB0F00A2181E93C7FC4948153E183CA260495A18F84D5AA249 484A5A1707170FEF3FC0494814FF01FF140F007F90B75AB9FC95C7FCA23D3E7BBD3E>69 D<DCFF801380030F9038E001C0033F9038F8038092B5EAFC0702039038807E0F913A0FFC 001F1FDA1FF0903807BF00DA7FC014FF4AC77E49488049485D495A49481400495A49485D 495AA249C9FC48485EA2485A1207495E120F5B001F5F95C7FC5B123FA2485AA4485AA44B B512F890C74880A260DB000190C7FC5FA34C5AA46C6C4A5AA36C7E4C5A121F6C6C141F6D 143F6C6C4A5A6C6C14FB6CB4EB03F36C9038E01FE16DB5EA80C0011F9038FE0040010701 F890C8FC010013803A4272BF46>71 D<49B512FE4914FFA26D14FE90390003FE005DA34A 5AA44A5AA44A5AA44A5AA44A5AA44AC7FCA4495AA4495AA4495AA4495AA4495AA4495AA4 495A13FF007FEBFF80B6FCA292C7FC283E7BBD23>73 D<902601FFFE91381FFFFE6F16FF 494C13FE6D82D900036D010013C0F17E00197C70143CDA07BF5DA2ED9FE0A2DA0F1F5D6F 7EA391261E07F8495AA36F7E023C4B5A821501A202786D495A81A2EE7F804A4BC7FCA2EE 3FC0A24948151EEE1FE0A349486D6C5AA3EE07F849485D17FC1603A249C76D5A1601A2EE 00FF011E5EA2177FA2495E173FA2137C01FC6F5AEA03FF007F13F8B5150F95C8FC4A8048 3E7BBD44>78 D<49B77E18F04916FC6D82903B0003FC0003FF05001380F07FC0183F4A48 EC1FE0A44A4815F0A319E04A48143FA319C04A48147FA21980F0FF004A5A4D5A4D5A4D5A 4AC7485AEF3FE0933801FF8092B548C7FC4915F817E04ACAFCA2495AA4495AA4495AA449 5AA4495AA4495A13FF007FEBFF80B6FCA292CAFC3C3E7BBD3E>80 D<92381FE00192397FFC0380913A01FFFE070002076D5A91390FE03F9F91391F8007FF4A 486C5A027C130114FC495A4A6D5A13035C13074A5C130FA3011F5DA35F94C7FC80A214F8 EB0FFEECFFE015FC6DEBFF806D14E06D806D806E7F141F02037FEC003F1507ED01FF81A2 82A312077F48C8127EA4485DA25E1501485D6D495A15076D5C007F4A5A6D49C8FCD87DF8 137E3978FF01FC486CB45A6D13E0D8E00F5B26C001FEC9FC314279BF33>83 D<90B9FC5A5AA2913A001FE003FED807F8150001E0167E494948133E485AA290C7FC484A 48133C121EA25A4BC7FCA25A18784A5A5AA2C716004A5AA44A5AA44A5AA44A5AA44A5AA4 4A5AA44AC9FCA4495AA4495A497E003FB67EA4383D71BC41>I<267FFFFE90B500F890B5 12C04B6E4814E0B504F815C06C13FC00019027800007FEC7381FFC0049C749EC07E04D5D 715DA204034BC7FC16071A1E160F041F5DA2043F5D1AF8047B5D190104F35D4F5AED01E3 4F5AED03C34FC8FCED07836D171EED0F036C021F5D151E033E5D033C15F8037C5D037814 0103F05D1803DA01E05D4E5AEC03C07148C9FCEC07800401131EEC0F0060141E023E5D14 3C027C5D027814FF4A5DA24A5D605C95CAFC5C5F91C7FC5F5B017E5D137C5F137853406E BD5B>87 D<147E49B47E010713C790390FC3EF8090391F00FFC0133E49EB7F8013FC485A 485A00071500A2485AA2001F14FE5B123FA24848485AA44848485AA4913807F01C48153C A391380FE078127E141F023F13F0123E003F903877E1E0381F01E73A0F87C3E3C03A07FF 81FF806C01001300D800FC137C262977A72E>97 D<EB1FC0EA0FFFA438003F80A449C7FC A413FEA4485AA4485AA2143F9038F9FFC0484813E09038F7C3F09038FF01F8EBFC004848 13FC157C49137E5B485A157FA215FF485AA315FE387F0001A400FEEB03FCA315F8140748 14F0A2EC0FE015C0007C131F1580007EEB3F00003E137E5C6C485A380F87F03807FFC06C 5BD800FCC7FC204077BE2A>I<EC1FC0ECFFF0010313F8903807F07C90381FC01E90383F 001F017E133F49137F000114FF485A4913FE000714FC484813781500121F5B123FA2485A A448C8FCA55AA21504007E1406150F007F141E6C143C15F8391F8001F0000FEB07E03907 E03F806CB512006C13F838003FC0202977A72A>I<167FED1FFF5DA3ED00FEA4ED01FCA4 ED03F8A4ED07F0A4ED0FE0A2147E903801FF8F0107EBDFC090380FC3FF49C6FC133E49EB 7F8013FC485A485A00071500A2485AA2001F14FE5B123FA24848485AA44848485AA49138 07F01C48153CA391380FE078127E141F023F13F0123E003F903877E1E0381F01E73A0F87 C3E3C03A07FF81FF806C01001300D800FC137C284077BE2E>I<EC3F80903801FFF00107 13F890381FE0FC90383F003E137E49131F485A485A12074848133E121F49137C003F14FC 90388003F8007FEB0FF090389FFFC090B51200B512F801E0C7FC90C8FCA25AA71508150C 007E141E153C15786CEB01F06CEB03E09038800FC0390FC07F003807FFFE000113F03800 7F80202976A72A>I<167CED01FEED07FF92380F878017C0ED1F0FED3F1F163F157F037E 1380EE1F00EDFE0E93C7FCA24A5AA54A5AA54A5A0107B512F8825EA29026000FE0C7FCA5 4A5AA64A5AA54AC8FCA514FEA5495AA413035CA4495AA4495AA3001E5B123F48485A12FF 91C9FCA2EAFE3EEAF83CEA7878EA3FF06C5AEA07C02A5383BF1C>I<EC01F8EC0FFC9138 3FFE1C91387E0F3E9138FC07FF903801F003D903E013FE01071301EB0FC0131FD93F8013 FCA2EB7F005B49EB03F8A21201A24848EB07F0A44848EB0FE0A4ED1FC05BA21203ED3F80 157FA26C6C13FF4A13003800FC0790387E1F7FEB3FFE90381FFCFEEB07E090C7FCA24A5A A44A5AA2121C003E495A007F5C48130F4A5A48495A4849C7FC387E01FC6CB45A6C13E000 0390C8FC283B7CA72A>I<EB03F813FF5AA3380007F0A4495AA4495AA4495AA449C9FCA2 EC03F8EC1FFE9038FE7FFF9138FC1F809039FFF00FC014C04801807F1400A25B485AA25B A24848495AA44848495AA34BC7FC485AA215FEA24848EC0380913801FC07A33B7F0003F8 0F00A2161E15F000FE5D1638167802015B486DB45A48EC7F8000706EC7FC29407ABE2E> I<147014F8EB01FC1303A214F8EB01F0EB00E01400AD137C48B4FC481380EA078F380E0F C0121E121C003C13E0007813C0131F127012F0EB3F80A212E038007F00A213FEA3485AA3 485AA33807F01C143CEA0FE0A21478EA1FC0147014F014E01381380F83C0EBC7803807FF 006C5AEA00F8163E79BC1C>I<EB03F8EA01FFA4380007F0A4495AA4495AA4495AA449C8 FCA2ED03E0ED0FF001FEEB3FF8ED7C3CEDE07C913801C0FC3901FC0381EC0703140E021C 13F83A03F83801F091387000E04A1300EBF9C048485A01FFC8FC5B6D7E4813E014F8EBE3 FEEBE0FF48486C7E143F6E7EA2D83F8014381678A33A7F003F80F0A3ED81E000FE131FED 83C01680EC0F8748903807FF00486D5A0070EB00F826407ABE2A>107 D<EB07F0EA01FF5AA338000FE0A4EB1FC0A4EB3F80A4EB7F00A413FEA4485AA4485AA448 5AA4485AA4485AA4485AA4387F03801307A338FE0F00A3131EA2127E5BEA3E38EA3FF86C 5AEA07C0144079BE17>I<D801F0D93FC0137FD803FC903AFFF003FFC02607FE03D9F80F 7F3D0F1F0FC0FC1F83F0001E903B9F007E3E01F8003C01BE147802F8D97FF07F00384914 E012784A14C04848481480A24A1400A24848C700FE495A1200A301FE4948495AA34E5A48 48495AA24E5AA248484948157095383F80F0A34848494890387F01E0A2F103C0187E4848 4948EC07801A0061F03E1E494AEB1FFC4991C7EA0FF06CC7000E6E5A442979A74A>I<D8 01F0EB3F803A03FC01FFE02607FE077F3A0F1F0FC1F8001E90389F00FC003C13BC02F87F 00385B12785C48485AA25CA2484848485A1200A301FE495AA34B5A485AA24B5AA2484815 3892381FC078A3484890383F80F0A2EE81E016014848EC03C01780160792381F0F0049EB 0FFE49EB07F86CC76C5A2D2979A733>I<EC1FC0ECFFF801037F903807F07E90381FC01F D93F001380017EEB0FC05B1201484814E05B1207485A16F0121F5B123F16E04848131FA4 48C7EA3FC0A3ED7F80A248150015FEA2007E495A5D007F495A7E4A5A6C6C485A000F013F C7FC3807E0FE3803FFF86C5B38003F80242977A72E>I<903903E001F8903907F807FE49 6C487E903A1E3E3E0F80903A3C3F7807C0017801F013E015E001709038C003F013F01580 3901E07F0017F8A21607EBC0FEC7FCA217F04948130FA44948EB1FE0A317C04948133F17 80A2EE7F004948137E6E13FE5E4B5A011F495A02F85B4B5A9138FC1F8090263F9FFFC7FC EC8FFCEC83E00280C8FC49C9FCA413FEA4485AA31203387FFFF0A2B5FC6C5B2D3A80A72E >I<023F1320903901FF80F00107EBC1E090380FC1E390381F80F790383E007F4914C001 FC133F485A120348481480A2485AA2001FEC7F005B123FA2484813FEA44848485AA44A5A 5AA34A5A127E140F141F003E495A003F137F6C13FF380F83EF6CB4485A6C131FEA00FC13 004A5AA44AC7FCA414FEA3130190B512F8A4243A77A72A>I<D801F013FC3903FC07FF48 6C4813803A0F1F1F07C0001E9038BC03E0001CEBF807003CEBF00F0038EBE01F127802C0 13C0D8F03FEB0F80913880070092C7FCA24848C8FC1200A313FEA4485AA4485AA4485AA4 485AA45B5B6CC9FC232979A726>I<EC7F80903801FFE0010713F090380FC0F890381F00 3C133E017E133E017C137E01FC13FEA2000114FC15F81570150013FF14F014FE6C7F1580 6D13C06D13E06D13F01307EB007F140F1407120C123F481303138039FF0007E0A24814C0 48130F00781480EC1F006C133E381F01FC6CB45A6C13E0C690C7FC1F297AA725>I<EB01 C0EB03E01307130FA4EB1FC0A4EB3F80A4EB7F00A3007FB5FCB6FCA33800FE00485AA448 5AA4485AA4485AA4485AA4383F800E141EA2143CEA7F001478A214F0EB01E0003F13C0EB 0380381F0F00EA0FFE6C5AEA03F0183A78B81E>I<137C48B41438486D137C260787C013 FEEA0F07001E7F001C4A5AEA3C0F123812784B5A38F01FC0A2EB3F8000E04A5A1200EB7F 00A24B5A13FEA34848495AA4484890383F80E01681A392387F03C0A39238FF078012014A 14003A00FC03BF0F90397E0F1F1E90393FFE0FFC6D486C5A903907F003F02B2979A731> I<017CEB03C048B4EB07E0489038800FF0380787C0D80F07131F001E13E0001CEC0FF8D8 3C0FEB07F0003814031278150138F01FC0A2EB3F8000E015E01200EB7F00A2ED03C013FE A34848EB0780A3ED0F00485A150E151EA2151C5DA200015C15F06D485A0000495A90387E 07806DB4C7FCEB1FFCEB03F0252979A72A>I<017C16F048B491387001F8486D9038F803 FC3A0787C001FCD80F071507001E13E0001C913903F803FED83C0FED01FC003816001278 4B48137C38F01FC0A2EB3F8000E04A4813781200EB7F00A24B4813F013FEA3484890393F 8001E0A3EF03C04848EB7F00A218801707A2EF0F005D0001161E4A141CD800FCEC803CDA 03DF5B903A7F078FC1F0903A3FFF07FFE090260FFE035B902703F8007FC7FC372979A73C >I<903907C007E090393FF00FF890397FFC3FFC9039F87E7C3E3A01E03EF01F2603C03F 133F3A07801FE07FD80F00EBC0FFA2001E013F13FEED807C4815381600A2003849C7FCC7 FCA314FEA4495AA44948131C163CA2001C1578387E07F012FF16F0010FEB01E012FED8FC 1FEB03C03AF81CF807803A783CFC1F00397FF87FFE393FE01FF8390FC007E028297BA72A >I<137C48B41438486D137C260787C013FEEA0F07001E7F001CEC01FCEA3C0F12381278 ED03F838F01FC0A2EB3F8000E0EC07F01200EB7F00A2ED0FE013FEA34848EB1FC0A44848 EB3F80A4ED7F00A35D00015C14013800FC03EB7E0F6DB45AEB1FFDEB07F1EB00014A5AA2 5D000E1307003F5C387F800F5D4A5A1300007E49C7FC007C137E00785B387C01F8383E07 E06CB45A6C90C8FCEA03F8273B79A72C>I E /Fh load 0 Fh currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fi cmbx10 10.95 20 /EN1 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-7 -25 106 68]N /Fi 20 115 df<007FB912F0BAFCA319F86C01E0C7121F6C6D14016C6DEC003F6C6D151F 6C6D150F6C6D150718036C6EEC01FC6C806D6D14006D7F6D6D157CA26D7F6D6D157E6D6D 153E6D806D8019006E7F6E7F6E7F6E7F6E7F8280806E5B6F5A6F5A6F5A4B5A4B48143E4B 5A4A90C8FCDA03FC157E4A48157CEC1FF04A5A4A4815FC4A5A4990C81201495A49481503 D90FF016F849481507D97FC0151F4948153F4890C912FF4848151F48B9FC5A5A4818F05A BAFC7E3F3E7ABD4C>6 D<EA07C0EA1FF0EA3FF8EA7FFCA2EAFFFEA5EA7FFCA2EA3FF8EA 1FF0EA07C00F0F798E1D>46 D<ECFFE0010713FC011F13FF017F14C0D9FFE07F48903880 3FF03A03FE000FF848486D7EA248486D7E001F81A348486D1380A3007F16C0A500FF16E0 B3A2007F16C0A5003F16806D5BA2001F1600A2000F5D6D13076C6C495A6C6C495A6C6D48 5A6C9038E0FFE06DB55A011F91C7FC010713FC010013E02B3D7CBB34>48 D<140F5C147F495A130F48B5FCB6FCA313F7EAFE071200B3B3A8003FB612F8A5253C79BB 34>I<903803FF80013F13F090B512FE00036E7E4881260FF80F7F261FC0017F003F6D7F D87FF06D7E6D6D7EA2486C6D7EA36F1380A26C5AA26C5A6C5A0003C7FCC8481300A35E15 3F5E4B5AA24B5A4A5B5E4A90C7FC4A5A4A5A4A5A15E04A5A4A5A9139FE000F80495A495A 4948EB1F00495AEB1F8049C7FC017E5C5B48B7FC485D5A5A5A5A5AA2B75AA4293C7BBB34 >I<ECFFC0010F13FC013F13FF4914C02601FF0113F03A03F8007FF8496D7E1207D80FFC 806D131F486C80A66C4A5A5B6C5AD801F85CC8485AA24B5A4A5B4A5B020F90C7FC903807 FFFC15F015FE6F7ED9000113E09138007FF86F7E826F7E17808117C0A2EA07C0D81FF015 E0487E487EA2487EA317C0A25B007F4A13805B6C48150001C0495AD81FF0495A3A0FFE01 FFF86CB65A000115C06C6C91C7FC011F13FC010113C02B3D7CBB34>I<ED01F815031507 A2150F151F153FA2157F15FF5C5CA25C5CEC1FBFEC3F3F143E147C14FCEB01F814F0EB03 E01307EB0FC0EB1F801400133E137E5B485A5B485A1207485A5B48C7FC5A127E5AB812F8 A5C8387FF800AA49B612F8A52D3C7DBB34>I<EC03FE91383FFFC091B57E010314F89039 0FFE01FC90381FF800D97FE07F9038FFC0034849487E1400485C485AA2485A001F6E5AA2 6F5A003FEC00F04991C7FC127FA3EC1FFCEC7FFFD8FFF9B512C016F09039FBC01FF89039 FF800FFC4A6C7E4980A26F13805B17C0A25B17E0A3127FA5123FA217C0121F7F1780120F 00074A13007F6C6C495A6C6D485A6C9038E07FF86DB55A6D14C0010F5C010349C7FC9038 007FE02B3D7CBB34>54 D<121F7F13F890B712F0A45A17E017C0178017005E5E5A007EC7 EA03F84B5A007C4A5A4B5A5E4BC7FC485C15FE4A5AC75B4A5A14074A5AA24A5AA2143F4A 5AA214FF92C8FCA25BA25BA3495AA3130FA5131FA96D5AA26D5AEB01E02C3F7ABD34>I< EC7FE0903807FFFE011F6D7E4914E09039FF807FF03A01FE001FF848486D7E4913074848 6D7EA2000F6E7EA2121FA27F7F7FD9FF805BECE00302F05B6CEBFC079138FF0FF8ED9FF0 6CECFFE05E6C92C7FC7E6C15C06D14F06D808290B67E48813807FE7F260FF81F1480381F F0076E14C04848C6FC49133F007F6E13E015074848130181167FA2163FA217C0A26C7E17 806C6C147F6DECFF006C6C495A6D13033A0FFF801FFC000390B512F06C5D6C6C1480011F 49C7FC010113E02B3D7CBB34>I<ECFFC0010713FC013F13FF49803A01FFC07FE0489038 003FF048486D7E4848130F001F6E7E82485A82007F801780A212FF17C0A517E0A4127F5D A2123F5D6C7EA2000F5C6C6C5B6C6C137B6CEBFFF36C7E011F01C313C00107130390C7FC A31780D801E05BEA07F8486C1500A2486C5C150F5E4B5A5B000F4A5A49495A9039E001FF C02607F8075B6CB6C7FC6C14FC6C14F0013F13C0D907FCC8FC2B3D7CBB34>I<B87E17FC EFFF8018F08428003FFE000113FE9338003FFF717F717F717FA2717FA285A761A34D5B61 4D5B4D90C8FCEF7FFE933803FFFC91B712F018C04DC9FC717E9126FE00077F7013F0707F 82717E84173FA284A685A5F207C019C083A2719038E00F80B70080ECF01F719038F83F00 7190B5FC05005C061F13F8CB000113E04A3F7DBD4E>82 D<003FB912FCA5903BFE007FFE 007FD87FF0EE0FFE01C0160349160190C71500007E187EA3007C183EA400FC183F48181F A5C81600B3AF011FB712F8A5403D7CBC49>84 D<903803FF80013F13F890B512FE00036E 7E2607FC017F48486C6C7E6D6D7E001F816D131F82150F826C5AA26C5AEA01E0C8FC153F EC7FFF0107B5FC133F9038FFFC0F000313E0000F1300485A485A5B485AA2485AA4151FA2 6C6C133F6DEB7BFF6C6C01F313FE391FFE03F16CB512E10003EC807FC69038FE001FD90F F890C7FC2F2B7DA933>97 D<EC7FE0903807FFFC011F13FF017F14C09039FFE07FE04890 38801FF04848486C7E00076E7E484813034848801501003F81A248487FA21780A212FF90 B7FCA401F0C9FCA4127FA37F123FEE0F80121F6C7E6DEC1F006C6C5C6C6D137E6C6D485A 6C9038F807F8013FB55A010F14C0010391C7FC9038003FF0292B7DA930>101 D<13FFB5FCA512077EAFED1FF0EDFFFE02036D7E4A80DA0FC07F91381F007F023C804A13 3F5C4A80A25CA25CB3A5B5D8FE0FB512E0A5333F7CBE3A>104 D<13FFB5FCA512077EB0 92380FFFFEA5DB01FEC7FC4B5AED07F0ED1FE04B5A4B5A03FEC8FC4A5AEC07F84A5A141F 4A7E14FF8181ECF7FF02E77F14C302817F02007F6F7E82153F6F7E6F7E6F7E83816F7F6F 7FB5D8FC07EBFFC0A5323F7DBE37>107 D<01FFD91FF8ECFFC0B5D97FFF010313F84AB5 D8C00F13FE0207DAE03F7F91290FE07FF07F037F91261F003FEBF8010007013CDAF9E080 6C4990391FFBC00002705D4A02FFC77FA24A5CA24A5CB3A5B5D8FE07B5D8F03FEBFF80A5 51297CA858>109 D<EC7FF0903803FFFE011FEBFFC0017F14F09039FFE03FF848903880 0FFC3A03FE0003FE48486D7E000F168048486D13C0A2003F16E049147F007F16F0A400FF 16F8AA007F16F0A46C6CECFFE0A2001F16C06C6C491380A26C6C4913003A03FF800FFE6C 9038E03FFC6C6CB512F0011F14C0010791C7FC9038007FF02D2B7DA934>111 D<3901FE01FC00FFEB0FFF4A13C04A13E091387E3FF0147800079038F07FF8000313E013 FF14C0ED3FF01480ED1FE0ED078092C7FC91C8FCB3A3B6FCA525297DA82B>114 D E /Fi load 0 Fi currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fj cmss10 10.95 5 /EN1 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-7 -25 91 69]N /Fj 5 111 df<D8FFF8EC01FE7FA27FA27FA26D7EA26D7EA36D7EA26D7EA28013078013 03801301807F1580A2EC7FC0A2143F15E0141F15F0140F15F8140715FCA2EC03FEA21401 15FF801681157F16C1153F16E1151FA2ED0FF1A2ED07F9A3ED03FDA2ED01FFA281A2167F A2163F2F3F78BE40>78 D<B46CEC03FCB3B3AB6C6CEC07F8A36C6CEC0FF0A26C6CEC1FE0 A26C6CEC3FC06D147F6C6C903801FF806C6C6C4813006C9038F01FFE6C90B55A6D5C011F 14E001075C010149C7FC9038003FF02E4178BE3F>85 D<EC3FE0ECFFFC13035B5B5B9038 3FE03C90387F800491C7FC5B5BA21201ACB6FCA6D801FEC7FCB3B01E407FBF1C>102 D<EAFF80A9C7FCAEEA7F80B3B3A4093F7BBE15>105 D<00FE13FF010713C04913F0013F 13F84913FC90B5FC39FFFC0FFEEBF003EBE00101C013FF805BA390C7FCB3A9202979A82F >110 D E /Fj load 0 Fj currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fk cmsy8 8 6 /EN2 load IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-3 -65 79 52]N /Fk 6 113 df<B812C0A32A037A9137>0 D<006015C000E01401007014030078EC07806C EC0F006C141E6C5C6C6C5B6C6C5B6C6C485A6C6C485A90387807806D48C7FCEB1E1E6D5A EB07F86D5A6D5A497E497EEB0F3CEB1E1E497E496C7E496C7E48486C7E48486C7E484813 7848C77E001E80488048EC07800070EC03C048140100601400222376A137>2 D<12C012F012FC123FEA0FC0EA03F0EA00FC133FEB0FC0EB03F0EB00FC143FEC0FC0EC03 F0EC00FC153FED0FC0ED03F0ED00FC163FEE0FC01603160FEE3F0016FCED03F0ED0FC003 3FC7FC15FCEC03F0EC0FC0023FC8FC14FCEB03F0EB0FC0013FC9FC13FCEA03F0EA0FC000 3FCAFC127C12F05ACBFCAD007FB71280B812C0A22A3B7AAB37>21 D<007FB712FEB8FC7EC7D80380C7FCB3B3A614012F2E7CAD38>62 D<12E0B3B3B3AD034378B114>106 D<18031807180F180E181CA21838A21870A218E0A2 EF01C0A2EF0380A2EF0700A2170EA25FA25F177817705FA24C5AA24C5AA24CC7FC136001 E0140EEA03F000075D487E003F5DEA79FC00F15DEA60FE00005D137F4B5A90383F80035E 6D6C48C8FCA290380FE00EA26D6C5AA26D6C5AA26D6C5AA26D6C5AA2EC7FC0A26E5AA26E C9FCA2140EA238427C823B>112 D E /Fk load 0 Fk currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fl cmr9 9 24 /EN1 load IEn S/IEn X FBB FMat/FMat[0.0133333 0 0 -0.0133333 0 0]N/FBB[-6 -21 78 56]N /Fl 24 122 df<121C127E127FEAFF80A213C0127FA2121D1201A4EA0380A3EA0700A212 0EA25A5A5A12200A187A8815>44 D<121C123E127FEAFF80A3EA7F00123E121C09097A88 15>46 D<DA07FC130C91393FFF801C91B512E0903A03FE01F03C903A0FF0003C7CD91FC0 131E49C7EA07FC017E14035B484814014848140012074848157CA24848153CA2485AA200 7F161CA390C9FC481600AB7E6D151CA3123FA26C6C1538A26C7E17706C7E000316E06C7E 6C6CEC01C0017EEC03806DEC0700D91FC0130ED90FF0133C903903FE01F80100B55A023F 13C0DA07FEC7FC2E377CB437>67 D<B77E16F016FE3A01FE0001FF00009138003FC0EE0F E0707E707E707E707E177E177FEF3F80A2EF1FC0A3EF0FE0A418F0AA18E0A3171F18C0A2 1880173F18005F17FE5F4C5AEE07F04C5AEE3FC000014AB45AB748C7FC16F8168034337E B23B>I<B812C0A3D803FCC7FC0001151FEE07E01603A21601A21600A4030E1370A41700 151EA2153E15FE90B5FCA3EBFC00153E151EA2150E171CA3173892C7FCA41778A2177017 F01601A21607160F0003157FB812E0A32E337DB234>I<90381FE00390387FFC0748B5FC 3903F01F8F39078003DF48C7B4FC001E804880A24880A200F880A381A27EA2007E91C7FC 127F13C0EA3FF013FF6C13F06C13FF6C14C06C80C614F8013F7F01037FEB003FEC03FF14 00ED3F80151F16C0150F126000E01407A47E1680A26C140F16006C5C6C141E6C6C5BD8FB E013F839F1FC03F000E0B55A011F138026C003FEC7FC22377CB42B>83 D<B500FE90383FFFF8A3000190C7000113006C48EC007C1738B3AF017E5DA2137F7F5F6D 7E4C5A6D6C495A6D6C49C7FC6D6C130E6D6C133C9039007F01F86EB45A020F13C0DA01FE C8FC35357EB23A>85 D<EB7F803803FFF04813FC380F80FE381F003F486C6C7E6D6C7EA2 6E7EEA1F80EA0F00C7FCA3EB03FF133F3801FFC73803FC07EA0FE0EA1FC0EA3F80EA7F00 A200FEECE1C0A4140FA2007F131B393F8033F33A1FC0E1FF80260FFFC113006CEB80FE39 00FE007C22237DA126>97 D<EB07F8EB3FFF90B512803901FC07C03903F003E03907E007 F0380FC00FEA1F80A2393F0007E0EC03C04890C7FC127EA212FEA8127E127FA26C14387F 001F14706C7E6C6C13E03903F001C03901FE07806CB51200EB3FFEEB07F01D237EA122> 99 D<153FEC0FFFA3EC007F81AEEB0FF0EB7FFC90B5FC3901FC0FBF3907E001FF48487E 497F001F8048C7FCA25A127EA212FEA8127EA2127F7EA26C6C5B5D6C6C5A6C6C4813803A 03F81F3FFC3801FFFE38007FF8D91FE0130026357DB32B>I<EB0FE0EB7FFC497E3801F8 3F3903E00F803907C007C0390F8003E0121FD83F0013F014015A007E14F8A212FEB6FCA3 48C8FCA5127E127FA26C14386C7E15706C7E6C6C13E03903F001C03901FE07806CB51200 EB3FFEEB07F01D237EA122>I<14FEEB03FF010F138090381F8FC090383E1FE0137C13F8 1201EC0FC03903F0078091C7FCABB512F0A3D803F0C7FCB3A7487E387FFFE0A31B357FB4 17>I<151F90391FC07F8090387FF0FF3A01FFFDE7C03903F07F873907C01F073A0F800F 8380001FECC000EB00074880A76C5CEB800F000F5C6C6C48C7FCEBF07EEBFFFC380C7FF0 EB1FC0001CC9FCA2121EA27EEBFFFE6CEBFFC015F06C80000F80391F0001FE003EEB007F 48141F168048140FA5007CEC1F00A2003F147E6C6C5B390FF007F80003B512E0C61480D9 1FFCC7FC22337EA126>I<1207EA0F80EA1FC0EA3FE0A3EA1FC0EA0F80EA0700C7FCA9EA 07E012FFA3120F1207B3A6EA0FF0B5FCA310337EB215>105 D<EA07E012FFA3120F1207 B3B3A7EA0FF0B5FCA310347EB315>108 D<2703F01FE013FF00FF90267FF80313C04A6C 487F903BF3C0FE1E07F03C07F7003F3801F8D803F6143001FC90391FE000FC495CA3495C B3486C496C487EB53BC7FFFE3FFFF0A33C217EA041>I<3903F01FC000FFEB7FF09038F1 FFF89038F3C0FC3907F7007EEA03FE497F5BA35BB3486CEB7F80B538C7FFFCA326217EA0 2B>I<EB07F0EB3FFE90B57E3901F80FC03903E003E048486C7E48486C7E001F8090C712 7C48147E003E143E007E143FA300FE1580A8007E1500A2007F5C6C147EA26C6C5BA26C6C 485A6C6C485A3903F80FE0C6B51280D93FFEC7FCEB07F021237EA126>I<3903F03FC000 FFEBFFF001F313FC9038F7C0FE3907FE007F6C48EB3F8049EB1FC049130F16E0150716F0 A2150316F8A816F01507A216E0150F6D14C0ED1F806DEB3F006D137E9038F781FC9038F3 FFF801F113E09038F03F8091C8FCAA487EB512C0A325307EA02B>I<3803E07C00FF13FF 01E113809038E39FC03807E71FEA03EE9038EC0F809038FC070049C7FCA35BB2487EB512 E0A31A217FA01E>114 D<EBFF06000713CE4813FEEA1F00003C133E007C131E127800F8 130EA37E6C90C7FCEA7F8013F86CB47E6C13E06C13F86C7F00017F38000FFF1300EC3F80 0060131F12E0140F7EA27E15006C5B6C133E38FF80FC38F7FFF800E113E038C07F801923 7EA11E>I<1370A513F0A31201A212031207120F121FB512FEA33803F000AF1407A8140E EA01F8A23800FC1CEB7FF8EB3FF0EB0FC0182F7FAD1E>I<B53801FFF0A33A0FF0007F80 6C48EB1F006D131E0003141C153C6C6C1338A26D137800001470A2017E5BA2EB7F01013F 5BA290381F8380A214C7010F90C7FCA2EB07EEA214FE6D5AA26D5AA36D5AA224217E9F29 >118 D<3A7FFF80FFF8A33A07F8003FC06C48EB1F806C6CEB0F00150E6D131E0000141C A2017E5BA2017F13786D1370A26D6C5AA214C1010F5B14E301075BA2D903F7C7FCA214FF 6D5AA26D5AA31478A21470A214F05CA2495A127CEAFE035C49C8FC5BEAFC1EEA783CEA3F F86C5AEA07C025307F9F29>121 D E /Fl load 0 Fl currentfont 75 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fm tcrm0600 6 2 [/Grave/Acute/Circumflex/Tilde/Dieresis/Hungarumlaut/Ring/Caron/Breve/Macron /Dotaccent/cedilla/ogonek/quotesinglbase.ts1 4{/.notdef}repeat /quotedblbase.ts1/.notdef/.notdef/twelveudash/threequartersemdash /afii61664.cap/arrowleft/arrowright/tieaccentlowercase/tieaccentcapital /tieaccentlowercase.new/tieaccentcapital.new/.notdef/afii61664.asc/uni2422 3 {/.notdef}repeat/dollar/.notdef/.notdef/quotesingle/.notdef/.notdef /asteriskmath/.notdef/comma/hyphendbl/period/fraction/zerooldstyle /oneoldstyle/twooldstyle/threeoldstyle/fouroldstyle/fiveoldstyle/sixoldstyle /sevenoldstyle/eightoldstyle/nineoldstyle/.notdef/.notdef/angleleft/minus /angleright 14{/.notdef}repeat/uni2127/.notdef/circle 7{/.notdef}repeat /Omega 3{/.notdef}repeat/uni301A/.notdef/uni301B/arrowup/arrowdown/grave.ts1 /.notdef/born/divorced/died 7{/.notdef}repeat/leaf/married/musicalnote 15{ /.notdef}repeat/tildelow/hyphendbl.alt/breve.ts1/caron.ts1/hungarumlaut.ts1 /dblgrave.ts1/dagger/daggerdbl/uni2016/perthousand/bullet/uni2103 /dollaroldstyle/centoldstyle/florin/colonmonetary/uni20A9/uni20A6/guarani /peso/lira/recipe/uni203D/gnaborretni/dong/trademark/uni2031/paragraph.alt /uni0E3F/afii61352/discount/estimated/openbullet/uni2120/uni2045/uni2046 /cent/sterling/currency/yen/brokenbar/section/dieresis.ts1/copyright /ordfeminine/copyleft/logicalnot/uni2117/registered/macron.ts1/degree /plusminus/twosuperior/threesuperior/acute.ts1/mu/paragraph/periodcentered /uni203B/onesuperior/ordmasculine/radical/onequarter/onehalf/threequarters /Euro 22{/.notdef}repeat/multiply 31{/.notdef}repeat/divide 9{/.notdef} repeat] A/EN5 X IEn S/IEn X FBB FMat/FMat[0.02 0 0 -0.02 0 0]N/FBB[-11 -15 87 40]N /Fm 2 133 df<136013F0A30060136000F013F0EAFC63EAFE67383FFFC03807FE00EA01 F8EA07FE383FFFC038FE67F0EAFC63EAF0F00060136000001300A3136014157B961E>42 D<13E0487EA76C5AA53878E3C0B512E0A33878E3C03800E000A3487EB36C5AA7132F7CA3 1B>132 D E /Fm load 0 Fm currentfont 50 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fn cmmib10 10.95 12 /EN3 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-3 -25 110 68]N /Fn 12 123 df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n load 0 Fn currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fo cmsy10 10.95 22 /EN2 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-4 -89 103 71]N /Fo 22 115 df<007FB812F8B912FCA26C17F83604789847>0 D<121E123FEA7F80EAFF C0A4EA7F80EA3F00121E0A0A799B19>I<0060166000F016F06C1501007CED03E06CED07 C06CED0F806C6CEC1F006C6C143E6C6C5C6C6C5C6C6C495A017C495A6D495A6D495A6D6C 48C7FC903807C03E6D6C5A6D6C5A903800F9F0EC7FE06E5A6E5AA24A7E4A7EECF9F09038 01F0F8903803E07C49487E49487E49486C7E013E6D7E496D7E496D7E48486D7E4848147C 48488048488048C8EA0F80003EED07C048ED03E048ED01F0481500006016602C2C73AC47 >I<EB03C0497EA70030EBC00CD8F803131F00FE147F00FF14FFEB83C1397FE3C7FE393F F3CFFC390FFBDFF00003B512C039007FFE00EB1FF8EB07E0EB1FF8EB7FFE0003B512C039 0FFBDFF0393FF3CFFC397FE3C7FE39FF83C1FFEB03C000FE147F00F8141FD83007130C00 00EBE000A76D5A20277AA92D>I<0203B612F8021F15FC91B7FC4916F8D907FCC9FCEB1F E0EB3F80017ECAFC13F8485A485A485A5B48CBFC5A121E5AA35AA35AAA1278A37EA37E12 1F7E6C7E7F6C7E6C7E6C7E137E7FEB1FE0EB07FC6DB712F8010016FC141F020315F891CA FCAE001FB812F84817FCA26C17F8364878B947>18 D<1818187CEF01FCEF07F8EF1FE0EF 7F80933801FE00EE07F8EE1FE0EE7F80DB01FEC7FCED07F8ED1FE0ED7F80DA01FEC8FCEC 07F8EC1FE0EC7F80D901FEC9FCEB07F8EB1FE0EB7F80D801FECAFCEA07F8EA1FE0EA7F80 00FECBFCA2EA7F80EA1FE0EA07F8EA01FE38007F80EB1FE0EB07F8EB01FE9038007F80EC 1FE0EC07F8EC01FE9138007F80ED1FE0ED07F8ED01FE9238007F80EE1FE0EE07F8EE01FE 9338007F80EF1FE0EF07F8EF01FCEF007C18181800AE007FB812F8B912FCA26C17F83648 78B947>20 D<126012F812FEEA7F80EA1FE0EA07F8EA01FE38007F80EB1FE0EB07F8EB01 FE9038007F80EC1FE0EC07F8EC01FE9138007F80ED1FE0ED07F8ED01FE9238007F80EE1F E0EE07F8EE01FE9338007F80EF1FE0EF07F8EF01FCA2EF07F8EF1FE0EF7F80933801FE00 EE07F8EE1FE0EE7F80DB01FEC7FCED07F8ED1FE0ED7F80DA01FEC8FCEC07F8EC1FE0EC7F 80D901FEC9FCEB07F8EB1FE0EB7F80D801FECAFCEA07F8EA1FE0EA7F8000FECBFC12F812 60CCFCAE007FB812F8B912FCA26C17F8364878B947>I<1818183CA41878A318F0A2EF01 E0A2EF03C01707EF0F80EF1F00177E5FEE03F8EE0FE0EE3FC04BB4C7FCED1FFC913803FF F00103B512C0007FB548C8FCB612E0A26C14FED80003EBFFC0D9000313F09138001FFCED 01FF9238003FC0EE0FE0EE03F8EE00FC177E171FEF0F80EF07C01703EF01E0A2EF00F0A2 1878A3183CA418181800AE007FB812F8B912FCA26C17F8364878B947>I<126012F0A412 78A37EA27EA27E7F6C7E6C7EEA01F86C7E137FEB1FC0EB0FF0EB03FE903800FFE0EC3FFF 020F13FF0201ECFFF8DA001F14FCA24AB612F8020F91C7FC023F90C8FCECFFE0D903FEC9 FCEB0FF0EB1FC0017FCAFC13FC485AEA03E0485A485A90CBFC121EA25AA25AA35AA41260 CCFCAE007FB812F8B912FCA26C17F8364878B947>I<D91FE01620D97FF816302601FFFE 1670486D7E48804814F09038E01FF8271F8007FC15E0391E0001FE48D9007F14010038DA 3FC014C00078DA0FE013030070DA07F8EB0780DB03FE131F48913A01FF807F006F90B5FC 043F5B705B04075B0060030113E000409238007F803C157BA047>I<0630140606F8141F 0501153FDD07F014FEDD1FC0EB03F8DD7F80EB0FF005FEC7EA1FC0DC03F8EC7F00DC0FE0 EB01FCDC3FC0EB07F84CC7EA0FE0DB01FCEC3F80DB07F002FEC7FCDB1FC0EB03F84B4849 5A03FEC7EA1FC0DA03F8027FC8FCDA0FE0EB01FCDA3FC0EB07F84AC7EA0FE0D901FCEC3F 80D907F002FEC9FCD91FE0EB03FCD93F80EB07F001FEC7EA1FC0D803F8027FCAFCD80FF0 EB01FED81FC0EB03F8007FC7EA0FE000FCEC1F80A2007FEC0FE0D81FC0EB03F8D80FF0EB 01FED803F8EB007FD800FEEC1FC0D93F80EB07F0D91FE0EB03FCD907F0EB00FED901FCEC 3F80D9007FEC0FE0DA3FC0EB07F8DA0FE0EB01FCDA03F8EB007FDA00FEEC1FC0DB7F80EB 0FF0DB1FC0EB03F8DB07F0EB00FEDB01FCEC3F806FB4EC1FE0DC3FC0EB07F8DC0FE0EB01 FCDC03F8EB007FDC01FEEC3FC09326007F80EB0FF0DD1FC0EB03F8DD07F0EB00FE716C14 7F0500151F06301406503C7BB45B>28 D<19301978A385A385A285A2737EA2737E737E86 737E1A7C8686F20FC0F207F0007FBB12FCBDFCA26C1AFCCDEA07F0F20FC0F21F001A3E62 624F5A624F5A4F5AA24FC7FCA2191EA261A361A3193050307BAE5B>33 D<0203B512E0021F14F091B6FC4915E0D907FCC8FCEB1FE0EB3F80017EC9FC13F8485A48 5A485A5B48CAFC5A121E5AA35AA35AA3B812E017F0A217E000F0CAFCA31278A37EA37E12 1F7E6C7E7F6C7E6C7E6C7E137E7FEB1FE0EB07FC6DB612E0010015F0141F020314E02C36 78B13D>50 D<037FB712FC0203B9FC020F1880143F5C91BA1200903D01FC001FF00001FE 02F04A6D5A4A17F090C893C7FCA24C5AA44C5AA394CAFC5EA34B5AA35E1503A25E4BB612 F0A34B5D614B92C8FC9338E0001C4C90C9FC153F5EA24BCBFCA25D5D14015DA24A5AA24A 5AA24A5AA23907801FC0EA1FC0003F495AEA7FE0486C48CCFC387FFC7EEBFFFC6C5B6C5B 6C13C06C90CDFCEA01FC49417FBD41>70 D<157FEC03FF141FEC3FE0EC7F80ECFE00495A 495AA2495AB3AA495AA2495A5C017FC7FC13FEEA07FCEAFFF0138013F0EA07FCC67E137F EB1F80806D7EA26D7EB3AA6D7EA26D7E6D7EEC7F80EC3FE0EC1FFF1403EC007F205B7AC3 2D>102 D<127EEAFFE013F8EA07FEC67EEB3F806D7E6D7EA26D7EB3AA6D7EA26D7E1300 147EEC3F80EC1FE0EC07FF14011407EC1FE0EC3F80EC7E005C1301495AA2495AB3AA495A A2495A495A01FFC7FCEA07FEEAFFF813E0007EC8FC205B7AC32D>I<146014F0A2EB01E0 A3EB03C0A3EB0780A2EB0F00A3131EA35BA25BA35BA3485AA3485AA2485AA348C7FCA312 1EA25AA35AA35AA21278A37EA37EA27EA36C7EA36C7EA26C7EA36C7EA31378A37FA27FA3 7FA3EB0780A2EB03C0A3EB01E0A3EB00F0A21460145A77C323>I<126012F0A21278A37E A37EA27EA36C7EA36C7EA26C7EA36C7EA31378A37FA27FA37FA3EB0780A2EB03C0A3EB01 E0A3EB00F0A2EB01E0A3EB03C0A3EB0780A2EB0F00A3131EA35BA25BA35BA3485AA3485A A2485AA348C7FCA3121EA25AA35AA35AA21260145A7BC323>I<126012F0B3B3B3B3B112 60045B76C319>I<0060131800F0133CB3B3B3B3B000601318165A75C32D>I<1A03F20780 A2F20F00A21A1EA262A262A262A24F5AA24F5AA24F5AA24FC7FCA2191EA261A261A261A2 4E5AA24E5AA24E5AA24EC8FCA2181EA260A260A260A2011C4B5A133C13FC486C4B5A1203 D80FFF4B5A121E486C6C4AC9FC127826E03FC0141E1240C66C6C5CA25F6D7E5F6D7E4C5A 6D7E4C5A6D7E4C5A6D7E4CCAFCEC7F80161EA26E6C5AA26E6C5AA26E6C5AA2913807F9E0 A26EB45AA26E5BA293CBFC805D157E157C153C1538495B7B834C>112 D<BB12E0A26C19C0A26C1980A26C190001F0CA121F6C6C171E193E6C6C173C197C6C6C17 7819F86C6C5F18016C6D5E18036D6C5E18076D6C5E180F6D6C93C7FC606D6C151E183E01 07163C6E157C010316786E15F801015E806D4B5A8117036E6C5C17076E6C5C170F6E6C91 C8FC5F6E6C131E173E6E6C133C177C6E6C137817F86E6C5B16016EEB81E0168392387FC3 C016C792383FE78016EF6FB4C9FCA26F5AA26F5AA26F5AA26F5AA243417CBD4C>114 D E /Fo load 0 Fo currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fp cmr8 8 15 /EN1 load IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-5 -19 71 50]N /Fp 15 122 df<EC3FF0903801FFFE01076D7E90391FE01FE090393F8007F09039FE0001 FC48486D7E4848147F4848EC3F80A24848EC1FC04848EC0FE0A2003F16F0491407007F16 F8A290C812030107EB038300FF16FC91B5FCA6EC0003A290C812036C16F86D1407A2003F 16F0A26C6CEC0FE0A26C6CEC1FC0A26C6CEC3F806C6CEC7F006C6C14FE6C6C495A90397F 8007F890391FE01FE00107B51280010149C7FC9038003FF02E2F7CAD37>2 D<1307130F131E133C1378137013F0EA01E0120313C012071380120F13005AA2121E123E A35AA612FC5AAD7E127CA67EA3121E121FA27E1380120713C0120313E01201EA00F01370 1378133C131E130F130710437AB11B>40 D<126012F012787E7E120E120FEA078013C012 0313E0120113F0120013F8A21378137CA3133EA6133F131FAD133F133EA6137CA3137813 F8A213F0120113E0120313C012071380EA0F00120E121E5A5A5A126010437CB11B>I<EC 0380B3A4B812FCA3C7D80380C7FCB3A42E2F7CA737>43 D<EB3FC0EBFFF0000313FC3807 F0FE380FC03F497E391F000F80A24814C0003E1307007E14E0A500FE14F0B0007E14E0A4 6CEB0FC0A36C1480390F801F006D5A3807F0FE6CB45AC613F0EB3FC01C2D7DAB23>48 D<130E131E137EEA01FE12FFA2EAFE7E1200B3AF13FF007F13FFA3182C7BAB23>I<EB7F 803801FFF0000713FC380F81FE381E007F0038EB3F8048EB1FC0007814E000FC130F7E6C 14F01407A2127E123CC7120FA215E0A2EC1FC01580143F1500147E5C495A495A14C0495A 49C7FC131E5B4913705B485A484813E048C7FC120E001FB5FC5A5AB612C0A31C2C7DAB23 >I<B812FCA27ECBFCAD007FB712FCB8FCA22E137C9937>61 D<B612FCEDFF8016E03A03 FC000FF80001EC03FC6F7E6F7E821780A617005E5E4B5AED07F8ED1FF090B612C05E16F0 9039FC0007F8ED01FE6F7EEE7F80163F17C0161F17E0A6EE3FC0A2EE7F80EEFF005D0003 EC07FCB75A16E093C7FC2B2D7EAC32>66 D<B512FCA3D803FEC8FC6C5AB3A5161CA41638 A41678A216F815011503ED07F00003143FB7FCA3262D7EAC2C>76 D<D8FFFE92381FFFC0A3D803FF92383FF0006C5FD9DF801477A3D9CFC014E7A2D9C7E0EB 01C7A3D9C3F0EB0387A2D9C1F8EB0707A3D9C0FC130EA3027E131CA26E1338A391381F80 70A291380FC0E0A3913807E1C0A2913803F380A3913801FF00A36E5A487ED80FF8017C49 7EB500800103B512C0A215383A2D7DAC41>I<EB7F803803FFE0000F13F848C67E143E38 3F803FEC1F80A2391F000FC0120EC7FCA3EB07FF137F3803FF8F3807F80FEA1FE0EA3F80 13005A00FE14C7A4141F127F1477393FC1E7FE381FFFC30007EB81FC3901FC00F020207E 9E23>97 D<EB1F80EBFFF0487F3803F0FC3807C03E380F803F48487E481480140F127E15 C0A212FEB6FCA348C8FCA4127EA2127F6CEB01C0A2391F800380EA0FC03907E007003803 F81E3801FFFC6C6C5AEB1FC01A207E9E1F>101 D<3801FE183807FFB8001F13F8EA3F01 EA7C000078137800F81338A37E6C13006C7EEA7FFC383FFF806C13E06C13F06C13F8C613 FC1307EB00FE0060137E00E0133EA27EA26C133C147C6C137838FF01F038F7FFE000E313 C000C0130017207E9E1C>115 D<3AFFFE03FFC0A33A07F000FE00157800031470A26C6C 5BA2EBFC0100005CEBFE03017E5BA26D48C7FCA2148FEB1F8EA2EB0FDCA214FC6D5AA26D 5AA36D5AA25CA213035C1238D87C07C8FC12FE130E131E485AEA7878EA7FF06C5AEA0F80 222B7F9C25>121 D E /Fp load 0 Fp currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fq cmex10 10.95 18 [/parenleftbig/parenrightbig/bracketleftbig/bracketrightbig/floorleftbig /floorrightbig/ceilingleftbig/ceilingrightbig/braceleftbig/bracerightbig /angbracketleftbig/angbracketrightbig/vextendsingle/vextenddouble/slashbig /backslashbig/parenleftBig/parenrightBig/parenleftbigg/parenrightbigg /bracketleftbigg/bracketrightbigg/floorleftbigg/floorrightbigg /ceilingleftbigg/ceilingrightbigg/braceleftbigg/bracerightbigg /angbracketleftbigg/angbracketrightbigg/slashbigg/backslashbigg /parenleftBigg/parenrightBigg/bracketleftBigg/bracketrightBigg/floorleftBigg /floorrightBigg/ceilingleftBigg/ceilingrightBigg/braceleftBigg /bracerightBigg/angbracketleftBigg/angbracketrightBigg/slashBigg /backslashBigg/slashBig/backslashBig/parenlefttp/parenrighttp/bracketlefttp /bracketrighttp/bracketleftbt/bracketrightbt/bracketleftex/bracketrightex /bracelefttp/bracerighttp/braceleftbt/bracerightbt/braceleftmid /bracerightmid/braceex/arrowvertex/parenleftbt/parenrightbt/parenleftex /parenrightex/angbracketleftBig/angbracketrightBig/unionsqtext /unionsqdisplay/contintegraltext/contintegraldisplay/circledottext /circledotdisplay/circleplustext/circleplusdisplay/circlemultiplytext /circlemultiplydisplay/summationtext/producttext/integraltext/uniontext /intersectiontext/unionmultitext/logicalandtext/logicalortext /summationdisplay/productdisplay/integraldisplay/uniondisplay /intersectiondisplay/unionmultidisplay/logicalanddisplay/logicalordisplay /coproducttext/coproductdisplay/hatwide/hatwider/hatwidest/tildewide /tildewider/tildewidest/bracketleftBig/bracketrightBig/floorleftBig /floorrightBig/ceilingleftBig/ceilingrightBig/braceleftBig/bracerightBig /radicalbig/radicalBig/radicalbigg/radicalBigg/radicalbt/radicalvertex /radicaltp/arrowvertexdbl/arrowtp/arrowbt/bracehtipdownleft /bracehtipdownright/bracehtipupleft/bracehtipupright/arrowdbltp/arrowdblbt 128{/.notdef}repeat] A/EN6 X IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-4 -271 132 70]N /Fq 18 112 df<140E141E143C147814F014E01301EB03C0EB0780130F14005B133EA25B A25BA2485AA212035B1207A25B120FA3485AA4123FA290C7FCA25AA6127EA212FEB3A212 7EA2127FA67EA27FA2121FA46C7EA312077FA212037F1201A26C7EA2137CA27FA27F7F14 801307EB03C0EB01E0130014F01478143C141E140E176C72832A>0 D<126012F012787E7E120E120F6C7E6C7E7F12017F6C7EA2137CA27FA27FA21480130F14 C0A2130714E0A3EB03F0A414F8A21301A214FCA61300A214FEB3A214FCA21301A614F8A2 1303A214F0A4EB07E0A314C0130FA21480131F1400A2133EA25BA25BA2485A5B12035B48 5A48C7FC120E121E5A5A5A1260176C7C832A>I<B51280A400F0C7FCB3B3B3B3B3AAB512 80A4116C6E8326>I<B51280A4EA0007B3B3B3B3B3AAB5FCA4116C7E8326>I<150F157FEC 01FFEC07FCEC1FE0EC3F80EC7F0014FE495A495AA2495AB3AE5C130FA2495A495A49C7FC EA01FEEA03F8EA0FF0EA7F8000FEC8FCA2EA7F80EA0FF0EA03F8EA01FEEA007F6D7E6D7E 6D7EA2130780B3AE6D7EA26D7E6D7E147FEC3F80EC1FE0EC07FCEC01FFEC007F150F206C 768335>8 D<127012FEEA7FC0EA1FF0EA07FCEA01FEEA007F6D7E6D7E6D7EA26D7EB3AE 130380A26D7E6D7E147FEC3F80EC1FE0EC07F8EC01FEEC007FA2EC01FEEC07F8EC1FE0EC 3F80EC7F0014FE495A495AA25C1307B3AE495AA2495A495A49C7FCEA01FEEA07FCEA1FF0 EA7FC000FEC8FC1270206C768335>I<EC0180EC03C0A2EC0780A3EC0F00A2141EA25CA3 5CA25CA2495AA3495AA2495AA249C7FCA3131EA25BA35BA25BA2485AA3485AA2485AA248 C8FCA3121EA25AA25AA35AA21278A37EA27EA27EA36C7EA26C7EA26C7EA36C7EA21378A2 7FA37FA27FA36D7EA26D7EA26D7EA36D7EA21478A280A380A280A2EC0780A3EC03C0A2EC 01801A6C77832B>I<126012F0A21278A37EA27EA27EA36C7EA26C7EA26C7EA36C7EA213 78A27FA37FA27FA36D7EA26D7EA26D7EA36D7EA21478A280A380A280A2EC0780A3EC03C0 A2EC0780A3EC0F00A2141EA25CA35CA25CA2495AA3495AA2495AA249C7FCA3131EA25BA3 5BA25BA2485AA3485AA2485AA248C8FCA3121EA25AA25AA35AA212601A6C79832B>I<00 60130600F0130FB3B3B3A300601306183B738133>13 D<ED03C01507ED0F80ED1F00153E 5D5D5D14014A5A4A5A4A5AA24AC7FC5C147E147C14FC495AA2495AA2495AA2495AA2495A A2133F91C8FC5B137E13FEA25B1201A3485AA3485AA4120F5BA3121FA25BA2123FA45BA2 127FA890C9FCA25AB3A77EA27FA8123FA27FA4121FA27FA2120FA37F1207A46C7EA36C7E A312007FA2137E137F7F80131FA26D7EA26D7EA26D7EA26D7EA26D7E147C147E80806E7E A26E7E6E7E6E7E140081157C8181ED0F80ED07C0150322A3708336>16 D<127012F8127C7E7E6C7E6C7E12037F6C7E6C7E137CA27F133F6D7E130F806D7EA26D7E A26D7EA26D7EA2147EA2147F8081141F81A2140F81A36E7EA36E7EA4811401A381A21400 A281A481A21680A8153FA216C0B3A71680A2157FA81600A25DA45DA21401A25DA314035D A44A5AA34A5AA35D141FA25D143F92C7FC5C147EA25CA2495AA2495AA2495AA2495A5C13 1F49C8FC133E5BA25B485A485A5B1207485A48C9FC123E5A5A127022A37D8336>I<1630 167816F8A2ED01F0A2ED03E0A3ED07C0A2ED0F80A3ED1F00A2153EA35DA25DA24A5AA34A 5AA24A5AA34A5AA24AC7FCA3143EA25CA35CA2495AA3495AA2495AA3495AA249C8FCA313 3EA25BA35BA2485AA2485AA3485AA2485AA348C9FCA2123EA35AA25AA3127CA27EA37EA2 6C7EA36C7EA26C7EA36C7EA26C7EA2137CA37FA27FA36D7EA26D7EA36D7EA26D7EA36D7E A2147CA380A280A36E7EA26E7EA36E7EA26E7EA36E7EA2157CA281A381A2ED0F80A3ED07 C0A2ED03E0A3ED01F0A2ED00F8A21678163025A3768338>68 D<127012F07EA2127CA27E A37EA26C7EA36C7EA26C7EA36C7EA26C7EA2137CA37FA27FA36D7EA26D7EA36D7EA26D7E A36D7EA2147CA380A280A36E7EA26E7EA36E7EA26E7EA36E7EA2157CA281A381A2ED0F80 A3ED07C0A2ED03E0A3ED01F0A2ED00F8A3ED01F0A2ED03E0A3ED07C0A2ED0F80A3ED1F00 A2153EA35DA25DA24A5AA34A5AA24A5AA34A5AA24AC7FCA3143EA25CA35CA2495AA3495A A2495AA3495AA249C8FCA3133EA25BA35BA2485AA2485AA3485AA2485AA348C9FCA2123E A35AA25AA25A127025A3788338>I<EE07E0EE3FF8EE7FFEEEF81F923801F007923903E0 0F80923907C01FC0173F150F1680151FEF1F80033FEB0F0093C8FCA35DA515FEA81401A4 5DA41403A85D1407A95D140FA85DA4141FA45DA84A5AA592C9FCA3003C5B007E137EB4FC 147C14FC5C5A387C01F0383803E0383E07C06CB45A000790CAFCEA01F832657B7F2B>82 D<F21F80F27FE0F2FFF0963801F078963803E03C0707131EF2C07E070F13FE96381F81FF 1A83F13F03A2197F96387E01FE9638FE00FC1B784E481300A34E5AA3180761A2180FA261 A2181FA361183FA44E5AA418FF96C8FCA35FA260A21703A44D5AA4170FA260A2171FA460 173FA4177F60A417FFA260A25EA360A25EA495C9FC5EA45F160FA45F161FA45F163FA45F 167FA45F16FFA45FA25DA35FA25DA294CAFCA45D5EA45E150FA45EA2151FA25EA44B5AA4 5EA2157FA25EA315FF93CBFCA44A5AA45D1403A35D1407A35DA2140F5DA34A5AA25D001E 133F123FD87F8090CCFC486C5A147EA25C1380387F01F8007E5B387803E06C485A6C485A 6CB4CDFC6C5AEA01F850CA7B7F33>90 D<15C0EC03F04A7EEC1FFE91387FFF8049B512E0 49EB3FF090390FFC0FFC90393FF003FF903AFF80007FC04848C7EA1FE0D807F8EC07F8D8 1FE0EC01FED87F809138007F8000FEC9EA1FC000F8160700C01600321180C333>98 D<163CED01FC1507151FED3FF0EDFFC04A1300EC03FC4A5A4A5A4A5A4A5A147F5D4AC7FC A3495AB3B3AC495AA3495A5C130F495A5C495A49C8FC13FEEA03FC485AEA1FE0EA7FC048 C9FC12FCB4FCEA7FC0EA1FE0EA07F86C7EC67E137F6D7E6D7E806D7E1307806D7EA36D7E B3B3AC6D7EA36E7E81143F6E7E6E7E6E7E6E7E6EB4FC6E13C0ED3FF0ED1FFC15071501ED 003C26A375833D>110 D<127012FE6C7EEA7FE06C7EEA0FFCEA03FEC67E6D7E6D7E6D7E 6D7E8013076D7EA36D7EB3B3AC6D7EA36E7E143F816E7E140F6E7E6E7E6E7E6EB4FCED7F 80ED1FE0ED0FF8ED03FC15001503ED0FF8ED1FE0ED7F80EDFF00EC01FC4A5A4A5A4A5A14 1F4A5A5D147F4AC7FCA3495AB3B3AC495AA3495A130F5C495A495A495A49C8FCEA03FEEA 0FFCEA3FF0485AEAFF8048C9FC127026A375833D>I E /Fq load 0 Fq currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fr cmmi8 8 14 /EN3 load IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-4 -19 74 50]N /Fr 14 122 df<143FECFF804913C0903807E1E090380F81F0EB1F00011E13F8133E5B01 FC13FC485AA2485AA2485AA2000F130113C0121FA215F8383F800390B5FCA34814F0EB00 07A215E0007E130FA215C000FE131F1580A2007CEB3F00A2147E147C14FC007E5B383E01 F0495A381E07C0381F0F806CB4C7FCEA07FCEA01F01E307EAE21>18 D<130E011FEB038049EB07C016E0017EEB0FC0A449EB1F80A44848EB3F00A44848137EA3 16184848EBFC38A31401000FECF870EBF003140F9039F81EFCE0391FFFFC7F9138F83FC0 90398FC00F000180C8FC48C9FCA4127EA45AA25A1270252C7E9D2A>22 D<90B6FC000315805A5A481500263E01E0C7FC00385B1270EAE003A21200495AA3130FA2 91C8FC5BA45B133EA2137EA35B137C1338211E7E9C1F>28 D<123C127E12FFA4127E123C 08087A8714>58 D<123C127EB4FCA21380A2127F123F1203A312071300A2120EA25A123C 12385A122009157A8714>I<15C01401A2EC0380A3EC0700A2140EA35CA35CA35CA35CA2 495AA3495AA349C7FCA3130EA25BA35BA35BA35BA3485AA2485AA348C8FCA3120EA35AA3 5AA25AA35AA25A1A437CB123>61 D<90260FFFFC90B5FC814B14FE9026003FE0EB1FE04B 14006E6C131C5F5F6E6C5B4C5A913807F8034C5A6E6C48C7FC161E6E6C5A5E5E6E6C5A5E 6F5AA26F7EA24B7E15FF5CEDCFF0EC038F91380707F8140E4A6C7E14384A6C7E14E01301 49486C7E495A49C76C7E131E496E7E13FC00074B7ED87FFF0103B5FCB56C5A6C497E382D 7EAC3A>88 D<267FFFE090380FFF80B54A13C0701380D803FCC73803F80017E06C6C1580 4CC7FC6D5C6C151E5E6D6C5B5E6D6C485A5E4B5A6D6C48C8FC5D90380FF01E5D6E5A0107 5B5D903803FDC0ECFF8092C9FC7F5C5CA35C1303A35C1307A35C130FA30007B5FC8192C9 FC322D7DAC29>I<EB1F80EA03FFA3D8003FC8FCA4137EA45BA43901F83F80ECFFE001FB 7F9038FFC1F848EB00FC13FCA25B485A5BA34848485AA34A5AEA1F80A24A5A16C0D83F00 13E1EC0FC1A2EDC380007EEB1F83A291380F8700158E48EB07FC007C6D5A00386D5A222F 7DAD29>104 D<1307EB0F80EB1FC0A21480A2EB0E0090C7FCA8EA01E0EA07F8487EEA1E 3E1238A2EA707EA212E05BA21240EA01F8A3485AA2485AA214C0EA0FC1A2EA1F81EB8380 A2EB8700A2EA0F8E13FC6C5AEA01F0122E7EAC18>I<39078007F0390FE03FFC486C487E 3938F8F83F9038F9C01F2670FF80138014005BEAE1FCA25B1241D803F0EB3F00A3157E48 5AA25D161848481438EC01F8A21670391F8003F0A2020113E0EDF1C048C7EAFF806CEC7F 00000E143E251F7E9D2B>110 D<EB07E0EB1FF8EB7FFCEBF81E3801F00FEBE01F000313 3FA20007133E141C140013FEEBFFC06C13E014F06C13F838007FFC131F1301EA1800007C 137C12FEA214784813F84813F038F001E0387C07C0383FFF806C1300EA07F8181F7C9D21 >115 D<1307EB0F80131FA2EB3F00A4137EA45B387FFFF8B5FC14F03801F800A4485AA4 485AA4485AA31430381F8070A314E0EB01C0A2EB8380380F8F0013FE6C5AEA01F0152B7E A919>I<EA03E0486C131C486C133ED81C7C133FD8387E137EA21270A2484813FCA3EA41 F80001EB01F8EA03F0A33907E003F0A4390FC007E0A40007EB0FC0141FEBE03F3803F0FF 6CB512806C13DFEB3F1F1300EC3F00120E001F137E5A485B5C387E01F0387C03E0383C0F C0D81FFFC7FC6C5AEA03F0202C7E9D23>121 D E /Fr load 0 Fr currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fs msbm10 10.95 3 /EN0 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-6 -42 213 84]N /Fs 3 83 df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s load 0 Fs currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Ft cmmi10 10.95 29 /EN3 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-5 -25 95 68]N /Ft 29 122 df<EC03F0EC0FFF023F13F04A13F8EC703FECE00F903801C007ED03F0ED00 E0160080A280A26D7EA280147C147E147F6E7EA26E7E8181140FEC7FF849487E5B90380F C3FEEB1F83EB3E01017C7F497E1201485A48487F000F15805B121F5B003F1500A248C7FC A400FE147EA315FE5DA24A5A127E5D1403003E5C003F13076C5C6C6C485A6C6C48C7FC38 03F03E3801FFFC6C13F0EB1FC025427DC028>14 D<15FCEC03FF020F138091381F87C091 383E03E091387801F014F8D901F013F8903803E000495A010F14FC495AA249C7FC5B017E 14FE13FE5B1201A248481301A212074914FC120FA2491303121FA348B612F8A44815F090 3880000FA216E090C7121FA24815C0153FA2481580157F1600A215FEA25D4A5AA2007E49 5A4A5AA24A5A003E5C4AC7FC6C133E5C6C5B3807C3F06CB45A6C1380D8007EC8FC27417D BF2B>18 D<14E0D903F0EB01C0EE03E00107EC07F0A34948EB0FE0A44948EB1FC0A44948 EB3F80A449C7EA7F00A401FE14FEA44848903801FC031707A30003913803F80EA2150717 1C0007140F6D131D037913389026FF81F01370489039FFE07FF001E79038803FE0903AE1 FE000F8001E0C9FC485AA4485AA448CAFCA412FEA35AA21270303C7EA737>22 D<017FEC01C0261FFF80EB07E04890C7FC160FA2C6FC49EC1FC0A3EE3F80485AEE7F00A2 16FE485A4B5A5E150348485C4B5A4B5A151F48485C4BC7FC157E5D4848485A4A5A4A5AEC 0F80263F803FC8FC147EEB81F8EB83F0387F0FC0017FC9FC13FC13F0EAFF80007CCAFC2B 287CA72D>I<011FB612FE017F8148B812804817005A485E9027C03801C0C7FCD81E0013 034801785B481370127048140714F0C712E0130193C8FC5DEB03C0A313071480010F5B82 A2EB1F00A25B133E017E80A213FE5B000181150F498012036F5A6C485C6C486D5A31287D A634>25 D<ED1FC0EDFFF0020313FC913807E07E91381F803F91393F001F80027C130F02 FC14C0495A494814E0A2495A130F4A14F0131F5C133F17E049C7121FA401FEEC3FC0A3EE 7F80485A170016FEA24848495A5E6D495A4B5A486C5CED1F8001F749C7FC9038F3C0FE39 0FE1FFF801E013E0EC3F8091C9FC485AA4485AA448CAFCA412FEA35AA212702C3C7EA72F >I<020FB512FE027F8049B71280010716005B013F5D90277FE03FE0C7FC9038FF000FD8 01FC6D7E484813034980485A120F491301121F485A150390C7FC5AA300FE4A5AA34B5AA2 5E48141F5E6C4AC8FC127E157E003E5C003F495A6C495A390F800FC03907E03F802603FF FEC9FCC613F8EB3FC031287DA634>I<011FB61280017F15C048B712E04816C05A481680 261F800EC8FCEA1E0048131E5A1270485BA2C7FC147CA21478A214F8A3495AA31303A349 5AA3130FA25CA2131FA3495A6DC9FC130E2B287DA628>I<EE0380A34CC7FCA4160EA45E A45EA45EA4017C4A13E048B4ED01F0486DEC03F826078FC01407D80E07D901C013FC001C 13E0003816031701D8700FD9038013F81700A226E01FC015784BC7FCA226C03F80157012 0090387F000EA218E013FE5DEF01C0485AEF03805DEF0700A24848150E4B5B12016D5D5F 4B5B6C6CEC03C0017E4A5A017F021FC7FC90391FC1C07E90390FF9C1F86DB512E0010014 80DA0FFCC8FCEC0380A34AC9FCA4140EA45CA45CA336527DBE3B>32 D<EC1FF0903801FFFC010713FF011F14804914C090397F801FE09039F80007C0D801E0EB 0380D8038090C7FC48C9FCA2120EA47EEB03FE3803DFFF6CB57E92C7FC485B38078FFC00 0EC9FC5A5A127812705AA51504150E6C5C0070143C007C14F8393F8007F06CB55A6C5C6C 91C7FC000113FC38007FC0232B7DA82A>34 D<121E123FEA7F80EAFFC0A4EA7F80EA3F00 121E0A0A798919>58 D<121E123FEA7F80EAFFC0A313E0127F123F121E1200A5EA01C0A3 EA0380A212071300120EA25A5A5A12200B1C798919>I<ED0180ED03C0A2ED0780A3ED0F 00A3151EA35DA35DA35DA34A5AA34A5AA34A5AA34AC7FCA2141EA35CA35CA35CA3495AA3 495AA3495AA349C8FCA3131EA35BA25BA35BA3485AA3485AA3485AA348C9FCA3121EA35A A35AA35AA21260225B7BC32D>61 D<EF0F80A2171FA2173F177FA217FF845EA25E5E17BF EE0F3FA2161E163E163C167C04787F16F0171FED01E0150316C0ED0780A2ED0F00A2151E 153E153C4B80A24B130F14015D14035D4A5A92B6FC5C5CA2023CC7EA0FF8A24A140714F8 5C13015C495AA2495A130F91C8FC5B49825B2603FF80140F007F01F80103B512F84C14FC B517F86C5B3E417DC044>65 D<91B712F84916FF19E08590260001FCC7EA3FF8F00FFC72 7E727E4A4880A21A80A24A5AA44A48160060A24E5A4A485D4E5A181F4E5A4A48EC7FC04E 5ADD03FEC7FCEF1FFC4AB612E095C8FC18E092C7EA0FF802FEEC03FE717E717F727E495A 727EA3494882A449485E187FA261494815FF615F4D90C7FC49484A5A4D5A4D5A4D5A4948 ECFFE0017F02075B007FB8C8FCB812FC17F06C93C9FC413E7DBD45>I<49B612E0835FA2 D900010180C7FC4BC8FCA34A5AA44A5AA44A5AA44A5AA44A5AA44A5AA44AC9FCA4495A18 04180EA24948151CA2183C1838495A1870A218F0494815E01701A2EF03C049481407170F EF1F80177F4948EB01FF017F021F1300007FB8FCB9FC5FA2373E7DBD3E>76 D<49B56C93B5128062621D0090270001DFC04B90C7FC631A0E1A1CDA039FEE1DFC1A391A 71A29126070FE04B5AA2F101C3F10383020EEF87F0F10707A2190E021C4C485A6F7E1938 197002384D5A19E0A2F001C002704B48485A6F7EF00700180E02E04DC8FC60A260D901C0 4B13FE6F7E604D5AD903804C5AEF0380A2EF0700D90700020E495AED00FE5FA2010E4B49 5A5FA25F496E48495AA2705A133C017C92C7485AD803FF027E4A7E007F01FC033FB512C0 B5027C498016784A01385E593E7CBD58>I<90B912FC5A5AA2913B0003FC000FF8D807F8 160101E016000180495A000F187890C7FC120E001E4A481470121CA25A4B5AA25A19E04B 5A5AA2C816004B5AA44BC9FCA44A5AA44A5AA44A5AA44A5AA44A5AA44A5AA44A5A4A7E00 0FB612F882485D7E3E3D7FBC35>84 D<027FB5D88007B512C091B65BA26E020015800200 01F00101EBF000DB7FC06D1380033F4BC7FC7014F84E5A6F6C495A4E5A6F6C5C4EC8FC60 6F6C133E606F6C5B4D5A4D5A6F6C485A4D5A6F018FC9FC179E17BEEE7FFC5F705A5FA270 7EA283163F167F4C7EED01F7923803E3FEED07C3ED0F8392381F01FF153EDB3C007F5D15 F84A486D7E4A5A4A486D7E4A5A4AC7FC023E6E7E5C02786E7E5C495A01036F7EEB0FC0D9 3FE06E7E48B46CEC1FFF007F01FE49B512FE85B55F6C5B4A3E7EBD4B>88 D<007FB56C0107B51280B6FC5F92C76C1400C601E0020013E06D486FC7FC187C606D6C4A 5A606D6C4A5A17074D5A6D6C4AC8FC173E173C6D6C5C17F84C5A6D6C495A4C5A6E495A6D 92C9FC161E6DEB803E5E5E91387FC1F05EEDC3C0EC3FE7EDEF8003FFCAFC6E5A5D6E5AA2 5DA25D141FA35D143FA35D147FA392CBFC5CA35C130113030003B512FE48805DA2413E7D BD35>I<023FB712F05CA219E0DAFFFCC7EA3FC003C0EC7F8092C8EAFF00D901FC5C4A4A 5A4A4A5A49484A5A4A4A5A604A4A5A01074B5A91C848C7FC4C5A010E14034C5A4C5A494A 5A010C4A5A90C85B4C5A4CC8FC4B5A15034B5A4B5A4B5A4B5A5E4B5A4BC9FC4A5A4A5A14 074A4814704A5A4A5A4A485C5D4AC8FC49484A5A495A13074948140349485D4948140749 5A4A4AC7FC49C85A48485D4848157E000716FE484814034848140F4848ECFFFC48B7FCA2 B85AA23C3E7BBD3E>I<EC1FE0ECFFFC01037F90380FF01F90393F800F8090387F000701 FCEB03C0485A1203485A4848EB0780121F49EB0F00003F5C153E397F8001FC903887FFF0 90B512C0B548C7FC01F8C8FC90C9FCA25AA71680007EEC01C0A2ED07806CEC0F00151E6C 6C137C390FC003F03907E01FE06CB51280C601FCC7FCEB3FE022297CA72A>101 D<163EEEFF804B13C0923803E1E0923807C3F0ED0F87ED1F8F169FED3F1FA2037F13E0EE 0FC0EE0780037EC7FC15FEA54A5AA54A5A0103B512FE5BA25E90260007F0C7FCA54A5AA6 4A5AA54A5AA54AC8FCA514FEA5495AA45C1303A35CA2380F07E0EA3F87127FEBC7C0EAFF 87EB8F80130F4848C9FCEA7C1EEA783CEA3FF86C5AEA07C02C537CBF2D>I<EB03F8EA01 FFA4380007F0A4495AA4495AA4495AA449C9FCA2EC01FC91380FFF80D9FE3F7F91387E07 E002F07F9038FFE0034801807F14005BA2485A5BA34848495AA44848495AA34B5A485AA2 4B5AA24848156092387F00E0A215FE48C7EB01C0A29238FC0380A200FEED0700A2160EED 7C3C48EC3FF8486E5A0070EC07C02B407BBE34>104 D<D801F0EB1FE0D807FCEB7FF83A 0FFE01FFFE3A1E3F03E07F3B1C1F8F803F80003890389E001F14BC007001F814C05C5C48 485AA25CA24848C7EA3F801200A301FEEC7F00A316FE485AA24B5AA248481503923803F8 07A2ED07F04848150EA2EEE01CA248481538A21770923803E1E049903801FFC0496D1380 6CC8EA3E0030297DA737>110 D<EC1FC0ECFFF801037F903807E03E90380F800F90381E 0007013EEB1F80013C133F017C137FA201FCEBFF0081153E6D13186D6CC7FC14F8ECFF80 6D7F15F06D7F6D7F130701017FEB000F14011400001F147E487E007F143E7F48485BA290 C712784814F80078495A0070495A003C495A391F803F80260FFFFEC7FC000313F838007F C021297CA72B>115 D<147014F813011303A4495AA4495AA4495AA3007FB512E0B6FCA3 39003F800049C7FCA413FEA4485AA4485AA4485AA4484813C01401A2EC0380EA1FC0EC07 00A2140E5C000F5B5C3807C1E06CB45A6C5BD8007EC7FC1B3A7EB821>I<D903F0137E90 3A0FFC01FF8090263FFE0313C0903A7C1F0783E09039F00F8E03D801C09038DC07F0D803 80EBF80F26070007131F15F0000E130F03E013E048ED0FC0EE078093C7FC0018495AC7FC A34A5AA44AC8FCA402FEEB01801603121E003FED0700387F81FC00FF150EA201835C0103 5C26FE077E137826FC0E3E5B3A781C1F03E03A3FF80FFF806C486C90C7FC3907C001FC2C 297DA734>120 D<137C48B4140E486D131F26078FC0EB3F80EA0E07001C7F0018ED7F00 EA380F1270A216FE48485AA3484848485A1200EB7F00A24B5A13FEA34848495AA4484849 5AA44B5AA30001143F4B5A6D13FF00005BEB7E076DB46CC7FCEB1FFEEB03F890C7FC15FE A25D001F1301D83F805B387FC0035D4A5A49485A01005B007E49C8FC0070133E6C13FC38 3E03F8381FFFE000071380D801FCC9FC293B7DA72D>I E /Ft load 0 Ft currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fu cmr10 10.95 81 /EN1 load IEn S/IEn X FBB FMat/FMat[0.0109589 0 0 -0.0109589 0 0]N/FBB[-6 -25 91 68]N /Fu 81 128 df<ED7FE0913807FFFE021F6D7E91397FC03FE0903A01FE0007F8D907F8EB 01FE49486D7ED91FC0EC3F8049486E7E49C86C7E01FE6F7E00018349150348486F7E0007 83491500000F83A24848EE7F80A2003F18C049163FA2007F18E0A3D981C0EC381F00FF18 F0A291B612F8A802C0C71238A2007F18E00180C9FC6D163FA3003F18C0A26C6CEE7F80A3 6C6CEEFF00A26C6C4B5A00035F6D15036C6C4B5A00005F017F4B5A6D6C4A5A6D6C4A5AD9 0FF002FFC7FC6D6C495AD901FEEB07F8903A007FC03FE0021FB51280020749C8FC913800 7FE03C427BBF47>2 D<9239FF8007F0020F9038E03FFC027F9038F8FFFE913AFF00FDFC 3FD903F890387FF07F49489039FFE0FF8090260FC0015BEB1F80013F5DD97F00ED7F006F EB003E017E6E90C7FC13FEADB97EA4C648C76CC8FCB3AC486C4A7E007FD9FC3FEBFF80A4 39407FBF35>11 D<EC01FE91381FFFC091B57E903901FE01F0903907F000784948137C90 391F8001FCD93F007F49130313FEA2496D5A1201ED007093C7FCAA16FEB7FCA43901FC00 0315011500B3AA486C497EB5D8F87F13FCA42E407EBF33>I<DA03FE14FF91271FFFC00F 13E091B5D8E07F7F903C01FE03F0FF00F8902807F0007BF8133C4948D9FFF0133E90261F 800101C013FE494848497F495E01FE1500A2494A6D5A000114010300153896C7FCAA197F BBFCA4D801FCC738FE00018485B3AA486C496CECFF80B5D8F87FD9FC3F13FEA447407EBF 4C>14 D<133E133F137F13FFA2EA01FEEA03FCEA07F813F0EA0FE0EA1FC01380EA3E005A 5A1270122010116EBE2D>19 D<B7FCA420047AB52D>22 D<EA01FCA2EBFF8014E038001F F0EB07F81303EB01FCA31303EB07F8EB1FF0387FFFE0B512C0EBFE000080C7FC1611757D 28>24 D<121E123FEA7F80EAFFC0A313E0127F123F121E1200A5EA01C0A3EA0380A21207 1300120EA25A5A5A12200B1C79BE19>39 D<1438147814F0EB01E0EB03C0EB0780EB0F00 A2131E5B137C137813F85B1201485AA2485AA3485AA3121F90C7FCA25AA2123EA2127EA5 127C12FCB2127C127EA5123EA2123FA27EA27F120FA36C7EA36C7EA26C7E12007F137813 7C133C7F7FA2EB0780EB03C0EB01E0EB00F014781438155A78C323>I<12C07E7E12787E 7E7EA26C7E6C7E7F12017F12007F137CA27FA37FA31480130FA214C0A21307A214E0A513 0314F0B214E01307A514C0A2130FA21480A2131F1400A3133EA35BA25B5B12015B12035B 485A48C7FCA2121E5A5A5A5A5A145A7AC323>I<1506150FB3A9007FB912E0BA12F0A26C 18E0C8000FC9FCB3A915063C3C7BB447>43 D<121E123FEA7F80EAFFC0A313E0127F123F 121E1200A5EA01C0A3EA0380A212071300120EA25A5A5A12200B1C798919>I<B512FEA6 17067F961E>I<121E123FEA7F80EAFFC0A4EA7F80EA3F00121E0A0A798919>I<EB01FE90 380FFFC0013F13F090387F03F89038FC00FC4848137E48487F4848EB1F8049130F000F15 C04848EB07E0A3003F15F0A348C7EA03F8A64815FCB3A26C15F8A46D1307003F15F0A300 1F15E0A26D130F000F15C0A26C6CEB1F806C6CEB3F006C6C137E6C6C5B90387F03F86DB4 5A010F13C0D901FEC7FC263F7DBC2D>48 D<14E013011303130F137FEA07FFB5FCA2139F EAF81F1200B3B3AA497EB612FCA41E3D78BC2D>I<EB07FC90383FFF8090B512E0488039 03F01FF839078007FE390F0001FF001E7F481580ED7FC048143F16E0127F486C131F16F0 7FA46C5A6CC7FC120CC813E0A2153F16C0157F1680A2EDFF004A5A5D4A5A4A5A5D4A5A4A 5A4AC7FC147E147C5C495A495AEB078049C71270131E5B5B017014E05B485A485A48C712 0148B6FC5A5A5AB712C0A4243D7CBC2D>I<EB07FC90383FFF8090B512E03901F80FF039 03C003FC48486C7E000EC77E121ED81F80EB7F807F486C14C07FA46C5A6C5A6C481480C8 FC15FF16005D14015D4A5A4A5A4A5AEC3FC0D91FFFC7FC14FCECFF809038000FE0EC03F8 6E7E6E7E81ED7F8016C0A2ED3FE0A216F0A2120EEA3F80487EA2487EA216E0A249137F6C 4814C090C7FC003CECFF80003E15006C495A390FC003FC3907F80FF86CB55AC614C0013F 5BD907F8C7FC243F7CBC2D>I<151E153EA2157E15FEA21401A214031407A2140E141E14 1C143C1478147014F0EB01E014C01303EB078014005B131E131C133C5B137013F05B485A 12035B48C7FC5A120E121E5A123812785AB8FCA4C73801FE00AB4A7E0103B6FCA4283E7E BD2D>I<00041403D80F80131F01F813FF90B55A5D5D5D15C05D4AC7FCEB7FF090C9FCAC EB01FE90380FFF804913E090387E07F09038F001F8496C7E49137E49137F90C7EA3F8012 06C813C0151F16E0A316F0A4123E127F487E7FA216E05B90C7FC007EEC3FC0127016806C 147F003C15006C14FE6C495A9038C003F83907F00FF00001B55A6C1480D93FFEC7FCEB0F F0243F7CBC2D>I<EC1FE0ECFFF801037F903807F03E90381F8007D93F001380017E131F 49EB3FC04848137FA2485A120749EB3F80000FEC1F0092C7FC485AA2123FA3485AA2EB81 FF018713C090388FDFF039FF9C01F89038B800FC01F0137E157F497F16804914C0151F16 E0A25BA216F0A4127FA5123F16E07FA2121FED3FC0120F6D1480000715006D5B000314FE 6C6C485A3900FE07F890387FFFF06D13C0010F5BD903FCC7FC243F7CBC2D>I<1238123C 123F90B612FCA44815F816F0A216E00078C7EA03C00070EC0780A2ED0F00151E5A5D5DA2 C85A4A5A4A5AA24A5A140F92C7FC5C141E143E143C147CA25CA21301A2495AA31307A313 0F5CA3131FA5133FA96D5AA20107C8FC26407BBD2D>I<EB03FC90381FFF804913E09038 FC07F03901F000F8D803C0137C48487F90C77E48EC0F80121EED07C0A2123EA3123FA26D EB0F807F6C7E01F8EB1F006D133E6CB4133C6E5A6CEBE0F06CEBF3E06CEBFFC06C91C7FC 6D7F011F7F6D13F0013F7F01FD7F3901F07FFE48486C7E2607C00F138048486C13C0381F 0001001E6D13E0003E143F48141FED0FF01507481403A21501A416E07E127CED03C07E00 3FEC07806C6CEB0F006C6C5BD807F0137E3903FC03FC6CB512F06C6C5B011F1380D903FC C7FC243F7CBC2D>I<EB03FCEB1FFF4913C09038FE07E03901F801F048486C7E48487F15 7E485A001F80123F491480127FED1FC0A212FF16E0A616F0A4127F153FA3123F7F001F14 7F120F6C6C13FFA23903F001DF3901F8039F3A00FFBF1FE0EB3FFEEB0FF890C7FCA2ED3F C0A31680A21600D80F805B486C137E486C13FE5D14015D49485A6C48485A391E000FC039 0FC07F806CB5C7FC6C13FC6C5B38003FC0243F7CBC2D>I<121E123FEA7F80EAFFC0A4EA 7F80EA3F00121EC7FCB3121E123FEA7F80EAFFC0A4EA7F80EA3F00121E0A2779A619>I< 121E123FEA7F80EAFFC0A4EA7F80EA3F00121EC7FCB3121E123FEA7F8012FF13C0A3127F 123F121F1201A5EA0380A4EA0700A2120EA25AA25A5A12200A3979A619>I<007FB912E0 BA12F0A26C18E0CDFCAE007FB912E0BA12F0A26C18E03C167BA147>61 D<ED0F80A34B7EA34B7EA34B7EA34B7EA3913801E7FCA3913803C3FEA391380781FFA302 0F801500A24A80021E137FA2023E80023C133FA2027C800278131FA202F8804A130FA201 01814A1307A249B67EA349819138800001A2010F8291C8FCA24982011E157FA2013E8201 3C153FA2017C82171FEA01FE2607FF80EC7FFCB500F8011FB512F8A43D417DC044>65 D<B712FCEEFF8017F017FCC69039C0000FFE6D48EB03FF7013807013C0EF7FE0173F18F0 171F18F8A3170F171FA318F0A2EF3FE0177F18C0EFFF804C1300EE07FEEE1FF891B612E0 94C7FC17F0913980000FFCEE01FF701380EF7FC0EF3FE0EF1FF018F8170F18FC170718FE A8EF0FFCA3EF1FF8EF3FF0177FEFFFE04C13C0496C010F1380B8EAFE005F17E094C7FC37 3E7DBD40>I<DB3FF01306912603FFFE130E020F9038FF801E023F14E0913AFFF007F03E 010390398000F87E4948C7EA3CFED90FF8141ED91FE0140F494814074948140349C8FC48 481501000316005B4848167E120FA24848163EA2123F5B181E127FA25B180012FFAC127F A26D160EA2123FA27F121F181C6C7EA26C6C163812036D1678000117706C6C16E06D6C14 016D6C15C06D6CEC0780D90FF8EC0F00D907FE141E6D6C6C137C01009038F003F8023FB5 12E0020F5C020349C7FC9138003FF037427BBF42>I<B712FEEEFFC017F017FCC69039E0 000FFF6D4801017F706C7E717EEF0FF0717E717E717EA2717E1980187F19C0183F19E0A3 F01FF0A519F8AB19F0A5F03FE0A219C0187FA21980F0FF00A24D5A4D5A17074D5A4D5AEF 7FE0933801FF80496C010F90C7FCB812FC5F17C04CC8FC3D3E7EBD45>I<B912E0A4C690 38E000016D48EB001FEF0FF017031701A21700A31870A404381338A518001678A316F815 0791B5FCA4ECC00715001678A30438130EA3181CA393C7FCA2183C1838A21878A318F817 0118F01703170F173F496CEB01FFB9FC18E0A3373E7DBD3E>I<B912C0A4C69038E00001 6D48EB003FEF0FE017071703A21701A21700A51870161CA41800A2163CA2167C16FC1503 91B5FCA4ECC0031500167C163CA2161CA693C8FCAD497EB612F8A4343E7EBD3B>I<DB3F E0130C912603FFFC131C021F01FF133C027F14C0913AFFF00FE07C010390390001F0FCD9 07FCEB0079D90FF0143D4948141F4948140F4948140749C81203485A4848150112074915 00120F5B001F177CA2485AA2183C127FA25B95C7FC12FFAB043FB512F0127FA27F933900 0FFE00003F705AA27F121FA26C7EA212077F6C7E12016C7E6D7E6D6C140F6D7ED90FF814 1FD907FE143E6D6C6CEBFC7C01009039F007F83C6EB5EAE01C021FECC00C020349C8FC91 38003FF03C427BBF47>I<B6D8E03FB512F8A4C601E0C7383FF8006D486E5AB3A591B7FC A402C0C7121FB3A7496C4A7EB6D8E03FB512F8A43D3E7DBD44>I<B612F8A439007FF000 6D5AB3B3B0497EB612F8A41D3E7EBD21>I<011FB512FEA4D9000313806E1300B3B3A512 0EEA3F80EA7FC0EAFFE0A35D140313C0D87F805B49485A123C6C495A6C6C485A3907E07F 806CB5C7FCC613FCEB1FE027407DBD2F>I<B600E090387FFFFCA4C601E0C7000F13006D 48EC07F8EF03E0604DC7FC170E5F5F5F5F4C5A4C5A4CC8FC160E5E5E5E5E4B5A4B5A4B7E 150F4B7E4B7E157FEDEFF89138C1CFFCECC3879138C703FE02CE7FECDC01DAF8007F4A80 4A137F4A6D7E83161F707E831607707E8382707F84177F717E84171F717E848484496C4A 13C0B6D8E001B6FCA4403E7DBD47>I<B612FCA4C601E0C9FC6D5AB3AEEF0380A51707A2 1800A35FA35FA25F5F5F5EEE07FE496C133FB8FCA4313E7DBD39>I<B500E093387FFFF0 A36E93B5FCC6F1F000D977F8923801DFE0A3D973FCED039FA3D971FEED071FA2D970FF15 0EA36E6C141CA26E6C1438A36E6C1470A36E6C14E0A26E6CEB01C0A36E6CEB0380A36E6C EB0700A26E6C130EA36F6C5AA36F6C5AA26F6C5AA36F6C5AA2923807F9C0A36FB45AA36F 90C7FCA201F86D5A487ED807FF4D7EB500F8017C013FB512F0A316384C3E7DBD53>I<B5 00C091B512F88080A2C66C6C020713006EEC01FC01776F5A6E1570EB73FF13718101707F 147F816E7E141F816E7E1407816E7E80826E7F157F826F7E151F826F7E1507826F7E8117 806F13C0167F17E0EE3FF0161F17F8EE0FFC160717FEEE03FF8218F082177FA2173F171F A2170F170713F8486C1503D807FF1501B512F817001870A23D3E7DBD44>I<ED7FE09138 07FFFE021F6D7E91397FC03FE0903A01FE0007F8D907F8EB01FE49486D7E49486E7E4948 6E7E49486E7E49C86C7E48486F7E49150300038348486F7EA248486F7EA2001F18804916 7F003F18C0A3007F18E049163FA300FF18F0AC007F18E06D167FA4003F18C06D16FF001F 1880A26D5D000F1800A26C6C4B5A00035F6D15076C6C4B5A6C5F6D6C4A5A6D6C4A5A6D6C 4A5A6D6C4AC7FCD907FCEB03FED901FEEB07F8903A007FC03FE0021FB51280020749C8FC 9138007FE03C427BBF47>I<B712F816FF17E017F8C69039E0003FFC6D48EB07FEEE01FF 701380EF7FC0EF3FE0A218F0171FA218F8A718F0A2173F18E018C0177FEFFF804C1300EE 07FEEE3FF891B65A17C04CC7FC02C0C9FCB3A5497EB612E0A4353E7DBD3E>I<B712C016 FCEEFF8017E0C69039E0007FF06D48EB0FFCEE03FE707E707F717EA284173F84A760177F 606017FF4C90C7FCEE03FCEE0FF8EE7FE091B6128004FCC8FC829139C001FF809238003F C0707E707E707E707E83160183A784A51904190E18C082A2496C027F131CB600E0EB3FE0 051F133894380FF078943807FFF0CA000113E09438003F803F407DBD43>82 D<D903FC131890391FFF8038017FEBE07848B512F03A03FC03FCF83907F0007FD80FC013 1F4848130F150748C712031501127E1500A200FE1578A46C1538A37F6C6C14007F7FEA3F FEEBFFE06C13FE6CEBFFE06C14FC6C806CECFF806C15C06D14E0011F14F01301D9001F13 F8020113FCEC003FED0FFE1503A2ED01FF81126012E0167FA47E167EA27E16FC7E6CEC01 F87E6DEB03F001E0EB07E0D8FDF8EB0FC03AF8FF803F80486CB51200011F5BD8E00713F8 39C0007FC028427BBF33>I<003FB91280A4D9F000EBE001018090397FC0003F48C7ED1F C0007C1707A200781703A300701701A548EF00E0A5C81600B3B04B7E010FB612FEA43B3D 7DBC42>I<B6D8E001B512F8A4C601E0C7000F13006D48EC03FC715A715AB3B3A3013F4B 5AA280131F4D5A130F6E4A5A13076E4AC7FC6D6C141E01015D6DB4147C6E6C485A91393F F00FE0020FB55A02035C020049C8FCED1FF03D407DBD44>I<B6017FB5D8C007B5FCA400 0301C0010001F0C7EA7FF06C49DA7FC0EC1FC06CF20F8072EC07006E023F5D017F190E84 80013F6184177F6D6C60A2EFE7FC6D6C60A2933801C3FE6E18F001076104037F6E028114 01010361040714806E14006D4E5A19C0040E137F6D01804CC7FCA24CEB3FE0DA7FC0160E A24CEB1FF003E0161E023F171C047814F8DBF070010F133C021F173804F014FC6F481307 020F5F19FEDBF9C01303DA07FD5EA2DBFF80EB01FF6E5FA293C8FCA26E5FA24B157F0200 94C8FCA24B81037C153EA20378151E0338151C58407EBD5D>87 D<003FB712F8A317F091 C7123F01F815E001E0147F0180ECFFC090C81380003E5C1700484A5A150700785D150F4B 5A5E0070143F5E4B5A15FF5EC75A4A90C7FC5D14075D4A5A141F5D143F4A5A5D14FF5D49 90C8FC5B4A141C1307495A5C131F5C495A017F153C5C13FF485B91C8FC4816785B484815 F8120F491401001F15034848140F49143F007FEC01FF90B7FCB8FCA32E3E7BBD38>90 D<EAFFFCA4EAF000B3B3B3B3ABEAFFFCA40E5B77C319>I<EAFFFCA4EA003CB3B3B3B3AB EAFFFCA40E5B7FC319>93 D<1318133C137E13FF4813803803E7C03807C3E0380F81F038 1F00F8003C133C48131E48130F00601306180D76BD2D>I<1380EA01C0EA0380EA070012 0EA25A123C1238A25AA35AA512EFEAFF8013C013E0127FA3EA3FC0EA1F80EA0F000B1C7A BE19>96 D<EB1FF8EBFFFE00036D7E3907E01FE0390FC007F06D6C7E486C6C7E140081A2 6C48137F6C5A6C5AC8FCA491B5FC130F133F9038FFC07F3803FE00EA07F8EA0FE0485A48 5A48C7FCA200FEED0380A415FFA2127F5C3B3F8003BF8700391FC0071F260FF01E13FE39 07FFFC0F00019038F007F83A003FC003E0292A7DA82D>I<EA01FC12FFA4120712031201 B0EC03FC91381FFF804A13E09138FC07F89039FDE001FC9039FF80007E91C77E49158016 1F4915C0EE0FE0A317F01607A217F8A917F0A2160F17E0A217C0161F6D1580EE3F006D14 7ED9FB805B9039F1E003F89039E0F80FF091387FFFC0D9C01F5BC7D803FCC7FC2D407EBE 33>I<49B4FC010F13F0013F13FC90387F007E01FC7F48485B4848EBFF80485A120F485A ED7F004848133E151C007F91C7FCA290C9FCA25AA97E7FA2123FED01C06C7EED03806C7E 0007EC07007F6C6C130ED801FE133C39007F80F86DB45A010F13C0D901FEC7FC222A7DA8 28>I<ED01FC15FFA4150715031501B0EB01FE90380FFFC1013F13F190387F80F99038FE 003DD801F8130F484813074848130348481301121F5B123FA2127F90C7FCA25AA97EA27F 123FA36C7E000F14036D130700074A7E6C6C497ED801FC013D13F839007F01F190383FFF E1010F1381903A01FE01FC002D407DBE33>I<EB01FE90380FFFC0013F13F090387F03F8 9038FC00FCD803F0137E497F12074848EB1F80121F4914C0003F140FA2007F15E090C7FC A25A90B6FCA390C9FCA67E7FA2123F16E06C7EED01C06C7E0007EC03806C7E6C6CEB0700 D800FE131E90387FC07C90381FFFF001075B010090C7FC232A7EA828>I<EC0FE0EC7FF8 903801FFFC903803F87E903807E0FE90380FC1FFEB1F81133F140190387F00FE017E137C 01FE1300AEB6FCA4C648C7FCB3AC487E007F13FFA420407EBF1C>I<167C903903F803FE 90391FFF07FF017F9038DF9F809039FE0FFE1F3901F803F82603F001EB0F003A07E000FC 0693C7FC4848137EA2001F147FA7000F147EA26C6C5BA26C6C485A6C6C485A3903FE0FE0 90B55AD8071F90C8FCEB03F848CAFCA57F7F6CB512F015FE6C6E7E6C15E0488148813A0F C0001FFC48C7120348EC00FE007E157E167F4881A5007E157EA26C5D6C6C495A6C6C495A D807F0EB0FE0D803FEEB7FC0C6B6C7FC013F13FC010313C0293D7EA82D>I<EA01FC12FF A4120712031201B0EC01FE91380FFFC0023F7F91387C07F09138F003F89039FDC001FCEB FF80150091C77E5BA35BB3A5486C497EB5D8F87F13FCA42E3F7DBE33>I<EA01E0487E48 7E487EA46C5A6C5A6C5AC8FCACEA01FC127FA4120712031201B3AA487EB512F0A4143E7D BD1A>I<147814FCEB01FEEB03FFA4EB01FEEB00FC14781400AC147FEB7FFFA413017F14 7FB3B3A4123E127F38FF807E14FE14FCA2EB01F8007E13F0383E07E0381FFFC06C1300EA 01FC185185BD1C>I<EA01FC12FFA4120712031201B192B51280A492383FF80016C093C7 FC153C5D5D4A5A4A5A4A5A020EC8FC141E143F14FF01FD7F9038FFDFC0148FEC0FE0496C 7EEBFC0301F87F6E7E6E7EA2157F6F7EA26F7E6F7EA282486C14FCB539F07FFFE0A42B3F 7EBE30>I<EA01FC12FFA4120712031201B3B3AF487EB512F8A4153F7DBE1A>I<2701F801 FE14FF00FF90270FFFC00713E0023FD9E01F7F913B7C07F03E03F8913BF003F87801FC3D 07F9C001FCE000FE2603FB80EBFDC000010200157E01FFC7B448137F4992C7FCA3495CB3 A5486C496CECFF80B5D8F87FD9FC3F13FEA447287DA74C>I<3901F801FE00FF90380FFF C0023F7F91387C07F09138F003F83A07F9C001FC3803FB800001140001FFC77E5BA35BB3 A5486C497EB5D8F87F13FCA42E287DA733>I<14FF010713E0011F13F890387F81FE9038 FC003F4848EB1F804848EB0FC04848EB07E04848EB03F0001F15F8491301003F15FCA248 C812FEA44815FFA96C15FEA36C6CEB01FCA36C6CEB03F8000F15F06D13076C6CEB0FE06C 6CEB1FC06C6CEB3F803A007F81FE006DB45A010F13F0010090C7FC282A7EA82D>I<3901 FC03FC00FF90381FFF804A13E09138FC0FF89039FDE003FC3A07FF8000FE6C90C7127F6C 481580163F49EC1FC017E0A2160F17F0A2160717F8A917F0160FA217E0161F17C0163F6D 1580EE7F006D14FE6E485A9039FDE003F89039FCF80FF091387FFFC0021F5BDA03FCC7FC 91C9FCAC487EB512F8A42D3A7EA733>I<02FE131C903907FFC03C011F13E090387F80F0 9039FE00387C4848131C4848EB0EFC4848130748481303121F5B003F14015B127FA290C7 FC5AA97E7FA2123F7FA2001F14036C7E6C6C1307150F6C6C131DD801FE137939007F81F1 90383FFFE1010F1381903801FC0190C7FCAC4B7E92B512F8A42D3A7DA730>I<3901F80F C000FFEB3FF0EC7FF8ECF1FC9038F9C3FE3807FB8312033801FF03EC01FC9038FE00F815 701500A25BB3A4487EB512FEA41F287EA724>I<90383FC0603901FFF8E0000713FD380F C03F381E000F481303127C0078130112F81400A37E7E6C6C1300EA7FF0EBFF806C13F86C 7F6C13FF6C1480000114C06C6C13E013039038003FF014070060EB03F800E01301A26C13 00A37E15F06C130115E06C130339FF8007C039FBE01F8000F1B5120000E013FC38C01FE0 1D2A7DA824>I<131CA6133CA4137CA213FCA2120112031207001FB512C0B6FCA3D801FC C7FCB315E0A90000EB01C013FE137E90387F038090383F8700EB1FFE6D5AEB01F81B397E B723>I<D801FC14FE00FF147FA4000714030003140100011400B3A41501A3150312004B 7E017E010E13804B13FC90383F80786DB45A01075B0100903800FE002E297DA733>I<B5 39E00FFFE0A42703FE000313006C48EB00FC16F07F00005DA26D13016D5CA26D6C485AA2 ECC007011F91C7FCA290380FE00EA2ECF01E0107131CA26D6C5AA2ECFC7801011370A2EC FEF001005BA2EC7FC0A36E5AA26EC8FCA3140E2B287EA630>I<B53BC3FFFE03FFF8A429 07FC001FE00013C06C486D48EB3F006D161E00016F131C15076D163C00004A6C1338A201 7F5E4B7E151DD93F805DED3DFC1538D91FC04A5AED78FE9238707E03D90FE0017F5BEDE0 3F02F0140701070387C7FC9138F1C01F02F9148F010315CE9138FB800F02FF14DE6D15FC ED00076D5DA24A1303027E5CA2027C1301023C5C023813003D287EA642>I<B539F01FFF E0A400019039800FFE003A007F0007F0028013C0D93FC05B011F49C7FC90380FE00EECF0 1E6D6C5A01035B6D6C5A6E5AEB00FF6E5A6E5A81141F814A7E81147BECF1FC903801E1FE ECC0FF01037F49486C7ED90F007F011E6D7E011C130F013C6D7E01FC80D807FE497EB539 803FFFF8A42D277FA630>I<B539E00FFFE0A42703FE000313006C48EB00F85E7F00005D A2017F495AA2EC8003013F5CA26D6C48C7FCA26E5A010F130EA26D6C5AA2ECF83C010313 38A26D6C5AA2ECFEF001005BA2EC7FC0A36E5AA36EC8FCA2140EA2141E141C143C1438A2 147800181370007E13F0B45B13015C130348485AD87E0FC9FCEA7C3EEA3FFC6C5AEA07E0 2B3A7EA630>I<001FB61280A3D9E000130001805B49485A001E1303001C495A003C5C14 0F4A5A0038495A5D147F4AC7FC5CEA0001495A495A5C130F90391FE00380EB3FC0148013 7FEBFF005B00011407485A485A491400000F5C485A495B4848137F007F495AB7FCA32127 7EA628>I<B812F0A32C0380992D>I<001C130E007EEB1F80007F133F39FF807FC0A3397F 003F80007E131F001CEB0E001A0977BD2D>127 D E /Fu load 0 Fu currentfont 91.25 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fv cmbx12 14.4 30 /EN1 load IEn S/IEn X FBB FMat/FMat[0.00833334 0 0 -0.00833334 0 0]N/FBB[-9 -33 136 90]N /Fv 30 123 df<153C157EEC01FE1407141F14FF13070003B5FCB6FCA3147F13F8EAFC00 C7FCB3B3B3A4007FB712FEA62F4E76CD43>49 D<EC3FFC49B512E0010F14F8013F14FE90 B77E4816E00007D9007F7FD80FF8010F7F01E06D7F484801017FD83FF06D7F01FC168048 6C806D6E13C0B5FC6E6D13E0A318F082A26C90C7FCA26C5A6C5A6C5AEA01C0C94813E0A3 18C05E18805E18004C5AA24B5B5F4B5B4B5B5F4B90C7FC4B5A4B5A4B5AEDFFE05E4A5B4A 90C8FCEC07FC4A48EB03F04A5A4A5A4A5A4AC7EA07E0495A495A495A5C4948140FEB1F80 49C8121F49B7FC90B812C05A5A5A5A5A5A5AA2B91280A5344E79CD43>I<91380FFF8091 B512F8010314FF010F15C0013F15F090267FF8077F9026FF80017F4848C76C7ED803F881 D807FE6E13807F486D15C06E7F486D15E0A76C5D4A15C06C5B6C90C71480EA00FC90C848 1300A24C5A5F4B5B4B5B4B5B4B5B92B5C7FC91B512FC16F016C016FCEEFF80DA000713E0 030113F89238007FFE707E70138018C07013E018F0A27013F818FCA3D801E016FEEA07F8 EA1FFE487E487FA2B57EA218FCA44A4913F87E91C714F06C5D01FC16E06C484A13C0494A 1380D80FFE91B512002707FFE0075B000190B65A6C16F0013F15C0010F92C7FC010114F8 D9001F90C8FC374F7ACD43>I<171F4D7E4D7EA24D7EA34C7FA24C7FA34C7FA34C7FA24C 7FA34C80A24C80167E8304FE804C7E03018116F8830303814C7E03078116E083030F814C 7E031F81168083033F8293C7FC4B82157E8403FE824B800201835D840203835D02076F7F 5D844AB87EA24A83A34A8492C812014A6F80A2027E8202FE845C0101717FA24A82010385 5C0107717FA24A82010F855C496C707FB600F8021FB712E0A65B547BD366>65 D<BC1280A51BC0D8000701FCC71203F0003F190F190385851A7F1A3F1A1F1BE01A0FA31A 07A318FCA21BF01A03A4050191C7FCA317031707170F177F92B6FCA69238FC007F170F17 0717031701A21B7E1700A21BFCA595C71201A21BF8A21A03A31A071BF01A0FA21A1F1A3F 1A7F1AFF070313E061193F0603B5FCBCFCA31BC0A34F517CD058>69 D<B600FE077FB512FE6F96B6FC705FA3705FD80007F5C00070EF07DFA202F76DEF0F9FA2 02F36DEF1F1FA302F16D173EA202F06D177CA26F6C17F8A26FEF01F083A26F6DED03E0A2 6F6DED07C0A26F6DED0F80A36F6DED1F00A26F6D153EA26F6D5DA2706C5DA3706D495AA2 706D495AA2706D495AA3706D495AA2706D49C7FCA2706D133EA2706D5BA3716C5BA271EB 81F0A271EBC3E0A271EBE7C0A371EBFF80A27191C8FCA2715BA3715BA2725AA2496C6F5A B76C0403B712FE725AA3725A725A77527CD180>77 D<BAFC19F819FF1AC01AF01AFCD800 0701F8C7001F7F0603EBFF80060014C0073F13E07313F0851BF8851BFCA27313FEA31BFF A91BFEA34F13FCA21BF8611BF04F13E04F13C096B5128006031400061F5B92B812F8621A 804FC7FC19E003FCCBFCB3ACB812E0A650527CD15C>80 D<B912F0F0FF8019F819FF1AC0 1AF0D8000701F8C76C7F060F13FE06037F060080737F85737F87A2737FA387A863A34F5B 6361634F5B96B5C8FC06035B060F5B95B512F092B812C097C9FC19F86119FC9226F80003 13FFDD007F7F727F727F727F727F727FA28684A286A887A61D3C1D7E8784A2736D13FCA2 73EBF001B800C06D9038F803F8739038FE07F07390B5FC070115E0736C1480080F1400CE EA7FF85F537CD164>82 D<EC3FFF0103B512F0011F14FE017F6E7E90B712E048D9C0077F 48D9800113FC486D6C6C7E163F486D6D7E848284A2826C49816C5BA2C648C7FC90C8FCA4 4BB5FC4AB6FC143F49B7FC130F013FEBF80790B512800003EBFC004813F0485B485B485B 91C7FC485AA2485AA55EA26C6C5C5E6C6C147D6E01FD13F86C9026C001F9EBFFE06C9026 F00FF014F06C90B5487E0001ED803F6C6C49487E011F01F8010313E0010101C090C8FC3C 387CB641>97 D<913801FFF0021F13FF91B612E0010315F8010F81499038800FFE494848 6C7ED9FFF8491380485B4A4913C0485B5A485BA25A91C76C1380486F1300A2EE01FC4848 91C8FCA412FFAB127FA27FA27EA26C6DEC07E0A27E6EEC0FC06C7FEF1F806C6D143F6C6D EC7F006C01FE14FE6D6C495A011F9038E00FF86D90B55A01035D01001580021F01FCC7FC 020113E033387CB63C>99 D<943801FFC00407B5FCA6EE001F1707B3A3913801FFC0021F 13F891B6FC010315C7010F15F749D9C01FB5FC90397FFE0003494813004801F080484980 48498083485BA24890C8FCA25AA2485AA412FFAB127FA4123F7FA27EA26C7F5F6C6D5C6C 6D5C6C6D91B5FC6C6D010314F06D6C49ECFFC090393FFF803F6D90B512CF0107150F0101 14FCD9003F13F00203018049C7FC42547CD24B>I<913803FF80023F13F891B512FE0103 6E7E010F15E0013F01017F903A7FFC003FF8D9FFF06D7E48496D7E48496D7E5A4A6D1380 5A91C76C13C05AA24817E082485AA218F0A212FFA290B8FCA418E049CAFCA5127FA36C7E A36CEE01E0EF03F06C7FEF07E06C7F6C6DEC0FC06C161F6C6DEC3F80D97FFCEC7F006DB4 EB01FE6D9038E00FFC010790B55A010115E06D6C1480021F49C7FC020013E034387CB63D >I<ED0FFE92B51280020714E0021F14F0027F14F89138FFF83F499038E07FFC01071380 923800FFFE5B495A5C133FEE7FFC5C017FEC3FF8EE1FF0EE07C093C7FCADB712E0A62600 7FFCC8FCB3B3A5007FB6FCA62F547CD329>I<DA1FFE14FE49B539E007FF800107DAF81F 13C0011FDAFE7F13E0017F91B612F09026FFF807143F48D9E001EBF07F48902680007F13 3F4804F813E04890C7383FFC1F19C0484891391FFE070095C7FCA2003F82A8001F5EA36C 6C4A5AA26C6D495A6C5E6C9039E001FFE06CD9F8075B4890B65A484BC8FC01E714F8D807 C114E09026C01FFEC9FC91CBFC120FA27FA27F7F7F90B7FC17F06C16FE717E18E06C836C 83846C83488312075AD81FFCC7000114804848EC001F484815077113C0485A83A56C6C4B 1380A26C6C4B13006D5D6C6C4B5A6C6C4B5A6C01E049B45A6C01FE011F5BC690B712C001 3F93C7FC010F15FC010115E0D9000F01FCC8FC3C4F7CB543>I<EB3FF8B5FCA61203C6FC B3A3EE0FFC93B57E030314E0030F14F84B8092393FC07FFE92387E003F4B6D7EECF9F0DA FBE0814B7F14FF4B8192C7FCA25CA35CB3ACB6D8FC0FB612C0A642537BD24B>I<133FEB FFC0487F487F487FA2487FA66C5BA26C5B6C5B6C5B013FC7FC90C8FCACEB1FF8B5FCA612 017EB3B3A4B612F0A61C547BD326>I<EB3FF8B5FCA61203C6FCB3A40407B512F8A69339 003FF000EF7FC04D5A4C90C7FC4C5AEE0FF84C5A4C5A4C5A4CC8FCED03FE4B5A4B5A4B5A 153FEDFFF814F902FB7F91B57E828315DF039F7FDAFE0F7F4A6C7F4A7E6F7F836F7F167F 707E84707F82707F84707F707F8284717EB6D8F807B6FCA640537CD247>107 D<EB1FF8B5FCA612017EB3B3B3AFB612F8A61D537BD226>I<D93FF8D90FFEED7FF0B591 267FFFC0903803FFFE4BB500F0010F6D7E030702FC013F14E0031F6E90B67E922A3FC07F FF01FE037F92267F001F903803F800000302FC6DD987E06D7EC6D9F9F8ED8FC0DAFBE003 DFC77F4B6D01DE143F02FF16FE4B4B8192C75CA24A5EA34A5EB3ACB6D8FC07B6D8E03FB6 FCA668367BB571>I<D93FF8EB0FFCB591B57E030314E0030F14F84B8092393FC07FFE92 387E003F00034A6D7EC6EBF9F0DAFBE0814B7F14FF4B8192C7FCA25CA35CB3ACB6D8FC0F B612C0A642367BB54B>I<913801FFE0021F13FE91B612C0010315F0010F15FC49903880 7FFE903B7FFC000FFF8049486D7F4801E001017F48496D7FA248496E7E488391C8123F48 83A248834981A2007F1880A400FF18C0AC007F1880A3003F18006D5DA26C5FA26C6D4A5A A26C6D4A5A6C5F6C6D495B6C01F801075B6D6C495B90273FFF807F90C7FC010F90B512FC 6D5D010015C0023F91C8FC020113E03A387CB643>I<D93FF8EB7FF0B50103B5FC031F14 E0037F14F802F9B612FE02FB01007FDAFFF8011F7F000302E06D7FC64A6D7F92C76C7F4A 6E7F4A8283727EA28584A21A80A284A21AC0AB1A8060A31A006061A24E5AA26E4A5B6E5C 6103C0495B6F011F5B6F495B9227FE01FFFEC7FC02FDB65ADAFC7F14F0031F14C0030749 C8FC030013E093CAFCB0B612FCA6424D7CB54B>I<90393FF003FCB5EB1FFF4B13C092B5 12F002F114F89238FC7FFCECF3F000039039F7E0FFFEC65CECFF805DA25CEE7FFCEE3FF8 5CEE0FE093C7FCA35CB3AAB612FEA62F367CB537>114 D<903901FFE007011FEBFC1F01 7FEBFF7F48B7FC1207390FFE003FD81FF0130749130148487F5B007F81A200FF81A37F7F 01F891C7FC13FEEBFFF06CEBFF8015FC6C14FF16C06C15F06C816C15FE6C817E6C6C1580 011F15C01303D9003F14E01400030F13F01501007C8000FC157F163F6C151FA37E17E07F 7FEE3FC001F0147F6DECFF806D4913009039FF800FFE91B55A013F5CD8FC1F14E0D8F803 148027E0007FF8C7FC2C387CB635>I<147EA614FEA41301A31303A21307A2130F131F13 3F137F13FF1203000F90B6FCB8FCA5C66C48C8FCB3A8EE0FC0AB013FEC1F808017006D5C 6DEB807EEDE0FE6DEBFFFC01015C6D5C023F13C0DA03FEC7FC2A4D7ECB34>I<D91FFC91 3801FFC0B5020FB5FCA60003ED003FC6160FB3AD5FA35FA2017F5DA294B5FC6D6CD903F7 13F0DC07E7EBFFC0903A1FFF801FC76D90B512876D1507010114FC6D6C13F00207018091 C7FC42377BB54B>I<B600F8010FB5FCA6C649C8EA7F801900017F167E6E15FE6D5E6F13 01A26D6D5C17036D5E6F13076D5E6F130F6D5E6F131FA26D6D5C173F6D93C7FC6F5B027F 147E6F13FE6E5C1681A26EEBC1F816C36E5C16E76E5C16FFA26E5CA26E5CA26E91C8FCA2 6F5AA36F5AA26F5AA26F5AA26F5A40367DB447>I<B600F0B6D8C007B512C0A600019026 FC000101F0C7380FE0006C6F6D5DA26E027F151F017F705D6E183F173F6D4B6C92C7FC6F 5F6D70147E94B5FC6F17FE6D4A6E5B03E016016D05C05B5E03F001F314036D020702E05B 03F816076D03E101F05B160F03FC01C0140F6D05F85BDBFE1F151FEF807F027F013F02FC 5B03FFD9003F133F6E04FE90C8FC5E04FE011F5B6EEEFF7E4C6D13FE6E5FA24C7F6E5FA2 6E496D5BA24C7F6E5FA24C7F6E5F4C147F037F5EA26FC86CC9FC5A367DB461>I<007FB5 00F890B512FEA6D8003F0180D90FF8C7FC6D6D5C6D6D495A4D5A6D6D495A6D6D91C8FC6D 6D5B6D6D485A4C5A6E6C485A6EEB8FF06EEBCFE06E13FF5F6E5C6E91C9FC6E5BA2806F7E 6F7F6F7F5D4B7F8392B57E4A80EC03FDDA07F87F4A486C7E4B6C7F021F6D7FEC3FC04A48 6C7F4A486C7F49486D7F49486D7F5C01076E7F49486E7E011F6F7FB60103B612C0A64235 7EB447>I<001FB8FC1880A31800ECC00049C6485B01F8495B495D495B49495B003F5E49 5B4B5B4B5B94C7FC90C7B5FC4A5B4A5B5E5C4A5BC75C5C4A5B4A5B93C8FC91B5FC495B49 49EB1F805D5B495B5D49153F49491400495B92C7FC90B5FC48495C485B4A5C5A48495B4A 5B485D4849131F484948B45A91B6FCB8FCA37E31357CB43C>122 D E /Fv load 0 Fv currentfont 120 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fw cmmi7 7 1 /EN3 load IEn S/IEn X FBB FMat/FMat[0.0171429 0 0 -0.0171429 0 0]N/FBB[-1 -17 68 44]N /Fw 1 111 df<3907801FC0390FE07FF03918F0E0F83938F1807C3830FF00D870FE133C 5BA2D8E1F8137C5B1201A248485BA34A5AEA07C016E0EC03E0A23A0F8007C1C0A2EDC380 02031300D81F0013C7EC01FE000EEB00F8231B7D9929>110 D E /Fw load 0 Fw currentfont 58.3333 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fx msbm10 10 1 /EN0 load IEn S/IEn X FBB FMat/FMat[0.012 0 0 -0.012 0 0]N/FBB[-5 -41 195 76]N /Fx 1 83 df<007FB612E0B712FC6CEDFF802703801E0313E03B01C03800F3F0EE707870 7E83170E707EA2EF0380A7EF0700A25FEE380E173CEE707CEEF3F0923807FFE0023FB512 8004FCC7FC1638EC38E0ED701CA26F7EA26F7EA26F6C7EA26F6C7EA292380380E0839238 01C07083ED00E083167083EE380FEF0780EE1C03EF01C0040E13E048486CEC00F0007FB5 39F007FFFEB6FC6C8137397DB836>82 D E /Fx load 0 Fx currentfont 83.3333 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fy cmmi10 10 1 /EN3 load IEn S/IEn X FBB FMat/FMat[0.012 0 0 -0.012 0 0]N/FBB[-4 -23 87 62]N /Fy 1 23 df<EB0380496C13076EEB0F804948131FA44948EB3F00A449C7127EA4017E5C A449495AA44848495A1738A30003913807E070A2150F151F000716E06D137F9238F3E1C0 9038FF03E33B0FDFFFC1FF8001CF01001300D9C3FC133E01C0C9FC485AA448CAFCA4127E A45AA25A12702D377EA432>22 D E /Fy load 0 Fy currentfont 83.3333 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: Fz cmr10 10 36 /EN1 load IEn S/IEn X FBB FMat/FMat[0.012 0 0 -0.012 0 0]N/FBB[-5 -23 84 62]N /Fz 36 123 df<121E123FEA7F80EAFFC0A213E0A2127F123F121E1200A4EA01C0A3EA03 80A2EA0700A2120E5A123C123812100B1A7AB917>39 D<14E01301EB03C0EB0780EB0F00 131EA25B5B13F85B12015B12035B1207A2485AA2121F90C7FCA25AA2123EA2127EA5127C 12FCB2127C127EA5123EA2123FA27EA27F120FA26C7EA212037F12017F12007F13787F7F A27FEB0780EB03C0EB01E01300135278BD20>I<126012F012787E7E7EA26C7E6C7E7F12 017F12007F1378137CA27FA2133F7FA21480A2130FA214C0A5130714E0B214C0130FA514 80A2131FA21400A25B133EA25BA2137813F85B12015B12035B485A48C7FCA2121E5A5A5A 126013527CBD20>I<121E123FEA7F80EAFFC0A213E0A2127F123F121E1200A4EA01C0A3 EA0380A2EA0700A2120E5A123C123812100B1A7A8917>44 D<121E123FEA7F80EAFFC0A4 EA7F80EA3F00121E0A0A7A8917>46 D<B812FCA30001903880001F6C90C71201707E177E 173E171EA2170EA4170F83ED01C0A394C7FCA31503A21507151F91B5FCA3EC001F150715 03A21501A218E0A3170192C713C0A41703A3EF0780A2170FA2171F173F17FF486D010F13 00B9FCA333397DB839>69 D<DBFF8013C0020FEBF001023F13FC9139FF803E03903A03FC 000F87D907F0EB03CFD91FC0EB01EF4948EB007F49C8FC01FE153F4848151FA24848150F 485A000F16075B001F1603A2485AA21701127FA25B94C7FC12FFAA93B6FC127FA26D9138 007FE0EF3FC0123FA36C7EA26C7EA212076C7E6C7EA26C7E017F157F6D7ED91FE014EFD9 07F0EB01C7D903FCEB0783903A00FFC03F0191393FFFFE00020F01F8130002001380383D 7CBA41>71 D<B612C0A3C6EBC0006D5AB3B3AD497EB612C0A31A397EB81E>73 D<B612FEEDFFE016F8000190388007FE6C90C76C7EEE3FC0707E707E707EA2707EA283A6 5FA24C5AA24C5A4C5A4C5AEEFF80DB07FEC8FC91B512F816E0A291380007F8ED01FC6F7E 167F707E83161F83A683A560F00380EE0FF8A3486D0107EB0700B6EB03FC933801FE0E93 3800FFFCCAEA3FF8EF07F0393B7DB83D>82 D<003FB812E0A3D9E003EB003F90260001FE 1307007EEE03F0007C160100781600A300701770A400F01778481738A4C71600B3B09138 07FF80011FB612E0A335397DB83C>84 D<B5D8FE01B5D8FC01B512C0A300039026C00007 90C7381FFC006C90C76C48EC07F06C735A04015E1A016D6C6E4A5AA36D6C4DC7FC4C7FA2 6E5F011F9126073FC0130EA26E171E010F020F6D131CEE0E1FA26D6C011E6D5BEE1C0FA2 6D6C5F4C6C7EA26E17F001014A6C6C5BA36D6C01F06D485AEEE001A2DA7F804B5A923981 C000FFA203C1150791263FC380D97F87C8FCA203E3158FDA1FE715CE93C7123FA26EB415 FC4B141FA202075E4B140FA36E486E5AA302015E4B1403A202005E4B1401523B7FB855> 87 D<5AEA038012071300120E5AA25AA25AA35AA412EFEAFF8013C013E0A2127FA2EA3F C0EA1F80EA0F000B1A7BB917>96 D<EB3FE0EBFFFC000313FF3907C03F80390F800FC048 6C6C7E01E07F6E7EA2380FC001D807807FEA0300C7FCA414FF130FEB7FF13801FF01EA07 F8EA0FF0EA1FE0EA3FC0EA7F80A2D8FF00141CA41403A2387F800714063A3FC01C7E383A 1FF0787FF83A0FFFF03FF0000301E013E03A007F000F8026277DA52A>I<EA03F812FFA3 120F1203B0EC0FE0EC7FFC9038F9FFFE9039FBE03F809039FF800FC09039FE0007E049EB 03F0A249EB01F816FCA216FE1500A216FFA916FEA3150116FCA2ED03F86D14F0ED07E06D EB0FC09039E7801F809039E3E07F009038C1FFFE9038807FF8C7EA1FC0283B7EB92E>I< EB03FC90381FFF80017F13E09038FE01F03901F800F83903F001FC3807E003EA0FC0121F 90388001F8003FEB00F01560007F140090C8FCA25AA97EA27FA2003F140E7F001F141C6C 7E000714386C7ED801FC13F03900FF03E090387FFFC0011F1300EB07F81F277DA525>I< ED1FC0EC07FFA3EC007F151FB0EB07F8EB1FFE90387FFF9F9038FE07DF3901F800FF4848 137F4848133F4848131F121F485AA2127F90C7FCA35AA97EA27F123FA2121F6C6C133F15 7F6C6C13FF3A03F001DFF03A01FC079FFF39007FFF1FEB3FFED907F013C0283B7DB92E> I<EB07F8EB1FFF017F13809038FC0FC03901F003E03903E001F0000714F8390FC000FC12 1F4913FE003F147EA248C7127FA35A90B6FCA390C8FCA57EA27F123F15076C7E150E6C7E 0007141C6C6C133CD801FC13783900FF01F090383FFFC06D1380903803FC0020277EA525 >I<147E903803FF80010F13C090381FC7E090383F07F0EB7E0F13FE13FC0001EB07E090 38F803C0000390C7FCADB512FCA3D803F8C7FCB3AB487EB512F8A31C3B7FBA19>I<ED03 E090390FF00FF090393FFC1FF890B5EA3C7C3A01F81FF0FC3A03E007C07C3A07C003E038 000FECF000001F80EB8001003F80A7001F5CEBC003000F5C00075C6C6C485A9038F81F80 0006B5C7FCEB3FFC380E0FF090C9FC121EA3121F6C7E90B512C015F86C14FE6CECFF8016 C04815E0391F80007F48C7EA0FF0007E140316F8481401A5007EEC03F0A26CEC07E06C6C EB0FC0D80FE0EB3F803A07FC01FF000001B512FC6C6C13F0010790C7FC26387EA52A>I< EA03F812FFA3120F1203B0EC07F0EC1FFCEC7FFF9138F07F809038F9C01FD9FB807F9038 FF000F49805BA35BB3A4486C497EB500E1B51280A3293A7EB92E>I<EA03C0487E487E48 7EA46C5A6C5A6C5AC8FCA9EA01F812FFA312071203B3AA487EB512E0A313387EB718>I< EA03F812FFA3120F1203B1913803FFFCA36E13C0913800FE005D15F04A5A4A5A4A5A4AC7 FC141E5C5C14FCEBF9FE13FBEBFF7F496C7EEBFC1F01F87F6E7E6E7EA26E7E6E7EA26E7E 157FA2ED3F8016C0486CEB7FF0B500E1B5FCA3283A7EB92C>107 D<EA03F812FFA3120F1203B3B3AD487EB512E0A3133A7EB918>I<2703F807F8EB0FF000 FFD91FFEEB3FFCDA7FFFEBFFFE913AF03F81E07F3D0FF9C00FC3801F802603FB80D9E700 7F020013E601FED907FC6D7EA2495CA2495CB3A4486C496C497EB500E1B500C3B51280A3 41257EA446>I<3903F807F000FFEB1FFCEC7FFF9138F07F80390FF9C01F2603FB807F90 38FF000F49805BA35BB3A4486C497EB500E1B51280A329257EA42E>I<EB03FE90380FFF 80013F13E09038FE03F83901F800FC4848137E48487F4848EB1F80001F15C049130F003F 15E0A248C7EA07F0A44815F8A96C15F0A26D130F003F15E0A26C6CEB1FC0000F15806D13 3F6C6CEB7F006C6C13FE3900FE03F890387FFFF0011F13C0D903FEC7FC25277EA52A>I< 3903F80FE000FFEB7FFC9038F9FFFE9039FBE07F803A0FFF801FC03A03FE000FE049EB07 F0A249EB03F816FC150116FEA3ED00FFA916FE1501A316FC150316F86DEB07F0ED0FE06D 14C09039FF803F809039FBE07F009038F9FFFE9038F87FF8EC1FC091C8FCAB487EB512E0 A328357EA42E>I<3803F03F00FFEB7F809038F1FFE014C7390FF38FF03803F70F13F690 38FE07E09038FC03C0EC018091C7FCA25BB3A3487EB512F8A31C257EA421>114 D<EBFF83000313E7000F13FFEA1F80383E003F487F00787FA200F87FA37E6C90C7FC6C7E EA7FF8EBFF806C13E06C13F86C7F6C7F00017F6C7E01031380EB003F0060EB1FC000E013 0FA26C1307A37E15806C130F1500B4131EEBC07C38F3FFF800E15B38C07F801A277DA521 >I<131CA5133CA3137CA213FC120112031207121FB6FCA3D801FCC7FCB2EC01C0A93900 FE0380A2017E13006D5AEB1FFE6D5AEB03F01A347FB220>I<D803F8EB0FE000FFEB03FF A3000FEB003F0003140FB3A5151FA2153F1201156F6C6CEBEFF8903A7E03CFFF8090383F FF8F6D130FD903FCEBE00029267EA42E>I<B538C07FFEA33A0FFC001FF0D803F8EB07C0 16807F00011500A26D5B0000140EA2017F5BA2EC803C013F1338A26D6C5AA214E0010F5B A214F101075BA2903803FB80A214FF6D90C7FCA36D5AA2147CA3143827257EA32C>I<B5 3A8FFFF07FFEA3260FF8009038800FF8000791397F0007E0EF03C000031780816DEC8007 0001027F1400A26D6E5A000002FF130E15EF6DECE01ED97F01141C15C70281EBF03CD93F 8314381583D91FC36D5AECC701A2D90FE76D5AECEE00A2D907FEEBFFC04A137FA201035D 4A133FA2010192C7FC4A7FA20100141E4A130E37257EA33C>I<B500C0B5FCA300039038 007FF06C48EB3F806C6C013EC7FC6D133CEB3F806E5A011F5B6D6C5A14F1903807FBC06D B45A6D90C8FCA26D5A147F818114FF497FECCFF0EB03C790380783F890380F03FCEB0E01 90381E00FE497F496D7E01F8133F000181D80FFC497EB548B51280A329247FA32C>I<B5 38C07FFEA33A07FC001FF06C48EB07C016807F00011500A26C6C130EA26D131E6D131CA2 6D6C5AA2ECC078011F1370A2ECE0F0010F5B14F0903807F1C0A214FB01035BA26DB4C7FC A36D5AA2147CA31438A214781470A25CA21301007C5BEAFE035C130749C8FCEAFC1EEA78 3CEA3FF86C5AEA0FC027357EA32C>I<003FB512FCA39038C007F8D83E0013F0003C130F EC1FE0003814C00078EB3F80147F0070EBFF005C1301495A5CEA0007495A5C495A133F90 387F800E14005B485A5B0003141E485A5B4848131C001F143C4848137C4913FC007F1303 B6FCA31F247EA325>I E /Fz load 0 Fz currentfont 83.3333 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: FA cmbx10 10 7 /EN1 load IEn S/IEn X FBB FMat/FMat[0.012 0 0 -0.012 0 0]N/FBB[-7 -23 97 62]N /FA 7 117 df<ED03E04B7EA24B7EA34B7EA24B7EA34B7EA292B57EA34A8015F7020380 15E715E302078015C1020F801580A2021F80ED007F4A80023E133FA2027E80027C7F02FC 814A7FA20101824A7F49B77EA34982A290270FC000017F4A7FA2011F8291C8127F498201 3E153FA2017E82017C81B500F8010FB61280A5413A7DB948>65 D<EB3FFE0003B512E048 14F84880391FF007FE393FF801FF6E7F82157F6C4880A26C5AEA0380C8FCA291B5FC130F 90B6FC0003EBF87F481380381FFC00485A5B485A485AA515FF6C6C5A6C6C487F903AFC0F BFFFC06CB5123F0007497E6CEBF80F39007FC0032A257DA42E>97 D<13FFB5FCA512077EAEEDFF80020F13F8023F7F91B6FCDAFE031380DAF00013C002C0EB 3FE04A14F091C7121F17F8A2EE0FFCA317FEA917FCA3EE1FF8A217F06EEB3FE06E137F02 F0EBFFC09026FDFC07138001F8B5EAFE00023F5BD9F00F13F0D9E00190C7FC2F3A7EB935 >I<903801FFC0010F13FC017F7F90B6FC48018013802607FE0113C0EA0FFC13F8EA1FF0 003F6D1380A24848EB7F00151C92C7FC12FFA9127F7FA2123F6DEB03E0121F6C6CEB07C0 7F6C6CEB0F8000019038E03F006CEBFFFE6D5B010F13F00101138023257DA42A>I<9038 FE07F000FFEB1FFC4A7E4A7E02F8138002E113C0EA07FF6C13C1A202801380A2ED7F0015 1C91C8FCB3B512FEA522257EA427>114 D<90383FF0383903FFFEF84813FF121F383FC0 0FEB0003007E1301140012FEA27E6D130013F8EBFFE06C13FC14FF6C14C06C14E06C14F0 000314F8C614FC131F9038007FFE14070078130112F814007EA26C14FC6C1301018013F8 9038F00FF090B512E000FD14C000F0140038E01FF81F257DA426>I<131FA55BA45BA25B A25A5A5A001FEBFFE0B6FCA4000390C7FCB115F8A86CEB01F014816CEBC3E090387FFFC0 6D13806D1300EB03FC1D357EB425>I E /FA load 0 FA currentfont 83.3333 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: FB tcrm0800 8 2 /EN5 load IEn S/IEn X FBB FMat/FMat[0.015 0 0 -0.015 0 0]N/FBB[-15 -20 103 52]N /FB 2 133 df<131EA2131F131EA30070EB0380007C130F00FEEB1FC0007FEB3F80EB9C 7F390FEDFC003803FFF0C613C0013FC7FCEBFFC0000313F0380FEDFC397F9C7F80EB1E3F 00FEEB1FC0007CEB0F8000701303000090C7FCA3131F131EA21A1D7C9E23>42 D<1330137813FCA61378A51330A2003C13F0387F33F8B512FCA2387F33F8383C30F00000 13001378A413FCB3A41378AC1330163D7CAE1F>132 D E /FB load 0 FB currentfont 66.6667 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: FC cmr12 12 22 /EN1 load IEn S/IEn X FBB FMat/FMat[0.01 0 0 -0.01 0 0]N/FBB[-6 -27 98 75]N /FC 22 118 df<140E141E143C147814F0EB01E0EB03C0EB0780A2EB0F00131E133E133C 137C137813F85B12015B1203A2485AA2120F5BA2121F90C7FCA35AA2123EA2127EA5127C A212FCB2127CA2127EA5123EA2123FA27EA37F120FA27F1207A26C7EA212017F12007F13 78137C133C133E131E7FEB0780A2EB03C0EB01E0EB00F01478143C141E140E176477CA26 >40 D<12C07E7E12787E7E7E6C7EA26C7E6C7E7F12007F1378137C133C133E131E131FA2 EB0F80A214C01307A214E01303A314F0A21301A214F8A51300A214FCB214F8A21301A514 F0A21303A214E0A3130714C0A2130F1480A2EB1F00A2131E133E133C137C137813F85B12 015B485A485AA248C7FC121E5A5A5A5A5A16647ACA26>I<121E123FEA7F80EAFFC0A4EA 7F80EA3F00121E0A0A78891B>46 D<1438147814F81303130F137FB5FCA213F71387EA00 07B3B3AFEB1FFE007FB61280A4214278C131>49 D<ED0780150FA2151FA2153F157FA215 FF5CA25C5C157F140F140E141C143C1438147814F014E01301EB03C014801307EB0F0013 0E131E131C5B1378137013F0485A5B1203485A90C7FC5A120E5A123C123812785AB812C0 A4C8387F8000AC4B7E91B612C0A42A437DC231>52 D<000615C0D807C0130701FC137F90 B6128016005D15F85D15C092C7FCEB3FF890C9FCAD14FF010713C0011F13F090383F01F8 90387800FE01E0137F497F49EB1F8016C090C7EA0FE01206C813F0A2ED07F8A416FCA412 1C123F487E12FF7F16F85BA290C7120F007C15F0127016E06C141F003C15C0001CEC3F80 001EEC7F006C6C13FE6C6C485A3903F80FF86CB55A6C6C13C06D90C7FCEB07F826447BC1 31>I<EC07FCEC3FFF91B512C0010314E0903907FC03F090380FE000D91F80137890393F 0001F8017EEB03FC49130712015B485A0007EC03F8ED01F0484890C7FCA2121F5B123FA3 127F5BEC7FE0903881FFF8903883F7FE39FF87007F018CEB1F800198EB0FC001B8EB07E0 13B001F0EB03F04914F8A24914FC150116FEA25B16FFA4127FA5123F7F16FEA2121F16FC 000F14036D14F81207ED07F06C6C14E06D130F6C6CEB1FC06C6CEB3F8090397F80FF006D B45A010F13F8010313E00100138028447CC131>I<ED01E0A34B7EA34B7EA34B7EA24B7E A34B7E1539A203797F1570A203F07FEDE07FA2020180EDC03FA2020380ED801FA2020780 ED000FA24A80020E1307A24A801603A24A8082A24A8182A24A8191B7FCA24982A202C0C7 123F49486E7EA349C86C7EA24982010E1507A2011E82011C1503A2013C82013881137801 7C83EA01FE2607FF8002077FB500F091B612C0A442477DC649>65 D<B912FCA4C601E0C7EA3FFE6D4814071701EF007EA2183E181EA284A384A40407EB0380 A495C7FCA35EA25E5E16FF91B6FCA4ECC000163F8282A28219E0A3F001C0A393C7FCA318 031980A21807A3180FA2F01F0060604D5A1707496C147FBAFC60A33B447DC342>69 D<B500E00407B5FCA36E5EC61A00D977F8EE1DFEA3D973FC1639A3D971FE1671A2D970FF 16E1A36E6CEC01C1A36E6CEC0381A26E6CEC0701A36E6C140EA36E6C141CA26E6C1438A3 6E6C1470A36E6C14E0A292397F8001C0A392393FC00380A392391FE00700A292380FF00E A36F6C5AA36F6C5AA26F6C5AA36F6C5AA3705AA201F86E5A487ED807FF4D7EB500F89026 1F0003B6FCA3160E50447CC359>77 D<EB0FFC90B57E48803903F00FF03907C003F8486C C67E001F147E6D137F81826C5A6C486D7E6C5AC8FCA6EC1FFF49B5FC90380FFE1FEB7FE0 3801FF00EA03FCEA07F0485A485A123F485AA290C714E05AA3153FA36C6C136F15EF3B3F C001C7E1C0391FE003873B0FF81F07FF802703FFFE0313006C9038F801FE3A001FE000FC 2B2E7CAC31>97 D<167FED3FFFA415018182B2EC7F80903803FFF0010F13F890383FC07E 90387F000F01FC6D5A48481301485A48487F000F81485AA2485AA2127FA290C8FCA25AA9 7EA37F123FA2121F7F000F5D6C6C5B7F00034A1380D801FC9038077FC06C6C011E13FE90 383F80FC90381FFFF0010713E00100010013002F467DC436>100 D<EB01FE903807FFC0011F13F090387F03F89038FC00FC4848137E48487F4848EB1F80A2 4848EB0FC0121F4914E0003F1407A2127F90C713F0A35A90B6FCA390C9FCA67EA27F123F A216706C7EA26C6C14E012076C6CEB01C06C6CEB03806C6CEB0700017F130E90383FC07C 90380FFFF8010313E0010090C7FC242E7DAC2B>I<EA01FC12FFA4120712031201B2EC01 FE913807FFC04A13F091383E07F8EC70014A6C7E4A7FEBFD8001FFC7127E167F5BA35BB3 A8486CECFF80B5D8F83F13FEA42F457DC436>104 D<EA01E0487E487E487EA46C5A6C5A 6C5AC8FCADEA01FC12FFA4120712031201B3AE487EB512F8A415437DC21C>I<EA01FC12 FFA4120712031201B3B3B3A3487EB512F8A415457DC41C>108 D<D801FC01FFEC1FE000 FF010701E0EBFFFC4A6D487F913B1E03F803C07F913C3800FC07001F8000070160D9FE0C 80000349D97F186D7E2601FD805C01FFDA3F70130791C74980495DA3495DB3A8486C4A6C 497EB5D8F81FB50003B512E0A44B2C7DAB52>I<3901FC01FE00FF903807FFC04A13F091 383E07F8EC70010007496C7E0003497F3801FD8001FFC7127E167F5BA35BB3A8486CECFF 80B5D8F83F13FEA42F2C7DAB36>I<EC7F80903803FFF0010F13FC90383FC0FF90397E00 1F80496D7ED801F0EB03E000038148486D7E48486D7EA24848147E003F157FA348C8EA3F 80A44816C0AA6C1680A26D147F003F1600A2001F157E6D14FE000F5D6D13016C6C495A6C 6C495A6C6C495A6C6C495A90263FC0FFC7FC6DB45A010713F89038007F802A2E7DAC31> I<3903F807E000FFEB1FF8EC3FFCEC78FEECE1FF3807F9C100031381EA01FBEC00FE01FF 137C4913381500A35BB3A7487EB512FEA4202C7DAB26>114 D<130EA6131EA4133EA213 7EA213FE120112031207001FB512F0B6FCA3C648C7FCB3A3151CAA017E1338137FA26D13 70EB1F8090380FE1E0903807FFC06D13809038007E001E3E7EBC26>116 D<D801FC147F00FFEC3FFFA400071401000380000181B3A75EA35D12005D6DEC7F80017E 010613C06D011C13FE90381FC07890380FFFF06D13E00100018013002F2D7DAB36>I E /FC load 0 FC currentfont 100 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont %DVIPSBitmapFont: FD cmr17 17.28 22 /EN1 load IEn S/IEn X FBB FMat/FMat[0.00694444 0 0 -0.00694444 0 0]N/FBB[-7 -38 136 107]N /FD 22 123 df<B712F0A7240780A12B>45 D<170F4D7EA34D7EA34D7EA34D7EA34C7FA2 4C7F17CFA204077F1787A2040F7F1703A2041F80EE1E01A2043E80EE3C00A2047C800478 137FA24C80183FA24B4880181FA24B486D7EA20307814C1307A2030F8193C77EA24B8203 1E80A2033E82033C80A2037C820378157FA24B82193FA24A4882191FA24A488292B8FC4A 83A3DA0F80C8EA07FF92C97EA24A84021E82A2023E84023C82A2027C840278177FA24A84 1A3FA24948841A1FA24948841A0F0107854A1707A2010F8586131F496C85137F2601FFF0 4D7F000701FC051F13F0B66C0307B612F0A45C657DE463>65 D<B712C0A4C66CEB8000D9 1FFEC7FC6D5AB3B3B3B3AE497E90387FFF80B712C0A422627AE12F>73 D<B712E0A4C60280CAFCD93FFCCBFC131F5CB3B3B21A1CA61A3C1A38A61A78A41AF8A21A F01901A219031907A2190F191F193F197FF001FF1807013F043F13E0D9FFFC0203B5FCBB FCA4466279E153>76 D<DA07FF1403023F01F05B49B512FC010702FF5B90260FFC0013C0 D91FE090380FE01F017FC7EA03F001FE913800F83FD801F8153C48486F5A496F5A000782 484881484881A248CAFCA2845A007E83A200FE83A384A37EA284A26C7EA27F6D93C7FC12 3F7FEA1FFC7F6C6C7E14E06C13FC6CEBFFC06C14F86CECFF806D14F86DECFF806D15E001 0715F86D15FE010081021F15C0020181DA003F80030380DB003F7F16039338007FFEEF1F FF1707711380837113C0187F19E0183F181FA2006018F000E0170FA31807A37EA46C18E0 A36C170F19C07E181F6C18807FF03F006D167E7F6D5ED8FE7C4B5A486C4B5A6D6C4A5A26 F80FE0EC1FC0D903FCEC7F8029F001FFE003FFC7FC6D6CB512FC48011F14F0020314C048 9026001FFEC8FC3C667AE349>83 D<003FBC12F8A49126C000039038C0000301FCC76C49 EB007F01F0190F01C019074848F103FC90C81701007E1A00007C1B7CA300781B3CA40070 1B1CA600F01B1E481B0EA7C91800B3B3B3A54C7FA2041F13F84AB87EA457627CE160>I< B600FC94B6FCA4C60280051F13E0D93FFECB000713806D48953803FE0064010F735A6480 010762A26E18036D62816D4F5AA26F170F6D97C7FCA26F5F027F181E81023F60A26F177C 021F1878A26F17F8020F608102074D5AA26F16036E60A27015076E60826E4DC8FCA2705D 037F161EA270153E033F163C82031F5EA27015F8030F5EA270140103075E826F4B5AA271 13076F5EA271130F6F93C9FC83047F141EA271133E043F143CA271137C041F147883040F 5CA2EFFE0104075CA2EFFF03705C188370EB8780A218CF7091CAFCA218FF715AA2715AA3 715AA3715AA2715AA3715A60647FE163>86 D<EC1FF849B5FC010714C090390FE01FF090 393F0003F80178EB01FE49EB007F48486E7E48488149141FD807406E7E01F881486C1407 837FA2707EA26C5A6C5A6C5AC9FCA6ED03FF92B5FC140F027F1303903803FFE0010F1300 EB1FF8EB7FE0495A4890C7FC485A485A485A121F5B123F48481770A3485AA31607A3160F A26C6C141DA26C6CDA38FE13E0001F15706C6C14E06C6C903A01C07F01C06CB4D90780EB 83806C903AC03F003FFF27007FFFFC6D1300011F01F0EB0FFC01010180EB03F03C417BBF 42>97 D<4AB47E020F13F8023F13FE9139FF807F80903A03FC0007E0D907F0EB01F04948 EB007849488049488049C8120E01FE1517000116FF48484A1380A248485C120F5B121F70 1300496E5A003F167C94C7FC127FA25BA312FFAC127FA27FA2123FA27F121FEF01C0120F 7F0007EE03807F0003EE07006C7E6C6C150EA26D6C5C6D6C5CD90FE05CD907F8495AD903 FEEB07C0902700FFC03FC7FC91383FFFFE020F13F80201138032417CBF3A>99 D<4AB4FC021F13F0027F13FC903901FF01FF903A03F8007F80D90FE0EB1FC049486D7E49 486D7E49C76C7E01FE8100016F7E5B00036F7E485AEF7F80485AA2001F17C049153F123F A3007F17E05BA312FF90B8FCA301C0CAFCA8127FA37FA2123FA36C7E18E0120F7F0007EE 01C06C7EEF03806C7E6C6CED07006D150E6D7E6D6C143CD90FF05C6D6C5CD901FEEB03C0 903A00FFC01F8091263FFFFEC7FC020713F8020013C033417DBF3A>101 D<ED0FF0ED7FFC4A487E913807F81F91390FE00F8091391F801FC0023FEB3FE091387F00 7F14FEA2495A0103EC3FC04AEB1F80EE0F00010791C7FCA25C130FB3A4B712F0A426000F F0C8FCB3B3B0497EEB3FFE003FB6FCA42B657EE428>I<EB03C0EA07FFB5FCA41201EA00 7FA2133FB3AAEE7FE0923803FFFC030F13FFDB3F0013C00378EB1FE003E06D7EDAC1C06D 7EDAC380130302C7C77F02CE140102DC81A214F8717E5CA25CA45CB3B3496C4A7F496C4A 7FB6D8F003B612C0A442647DE349>104 D<133E137F497E487F487FA56C5B6C5B6DC7FC 133E90C8FCB3EB03C0EA07FF127FA41201EA007FA2133FB3B3AC497E497EB612E0A41B5F 7DDE23>I<EB03C0EA07FFB5FCA41201EA007FA2133FB3B3B3B3AD497E497EB612F0A41C 647DE323>108 D<D903C0D9FFC0EC07FED807FF010701F891383FFFC0B5011F01FE91B5 12F0923D3F00FF8001F807FC03F8903B3FC007C001FEDAC1E06D6C48C77E0001D9C3C090 260FF01E6E7E26007FC7C700070138143F06F882D93FCE020349141F02DC6F488102D85E 02F8DA01FD150F4ADBFF8081A34A93C8FCA44A5DB3B3496C4A6C4B7E496C4A6D4A7EB6D8 F007B6D8803FB512FCA4663F7CBE6F>I<D903C0EB7FE0D807FF903803FFFCB5010F13FF DB3F0013C00378EB1FE003E06D7E0001D9C1C06D7E27007FC380130302C7C77FD93FCE14 0102DC81A214F8717E5CA25CA45CB3B3496C4A7F496C4A7FB6D8F003B612C0A4423F7DBE 49>I<EDFFE0020713FC023FEBFF809139FF803FE0903A01FC0007F0D907F0EB01FC4948 6D7E4948147F49486E7E49C86C7E01FE6F7E48486F7E000383491503000783491501000F 83001F834981A2003F1880A34848EE7FC0A400FF18E0AC007F18C0A36D16FF003F1880A3 001F18006D5D000F5FA26C6C4B5AA26C6C4B5A00015F6C6C4B5A6D151F6D6C4A5A6D6C4A 5AD90FE002FEC7FCD907F8EB03FCD903FEEB0FF8903A00FF803FE0023FB51280020701FC C8FC020013E03B417DBF42>I<9039078003F8D807FFEB0FFFB5013F138092387C07C092 38F01FE0DA81C013F00001903883803F39007F8700148E133F029CEB1FE0EE0FC002B8EB 030093C7FC14F0A35CA55CB3B1497EEBFFF8B612FCA42C3F7CBE33>114 D<9139FFE00180010FEBFC03017FEBFF079039FF001F8FD803F8EB03DFD807E0EB00FFD8 0F80147F48C8123F161F123E007E150F127C160712FCA316037EA27EA26C7E01E091C7FC EA3FF813FE381FFFF06CEBFF806C14F86C14FF6C15C06C6C14F0011F80010780D9007F7F 02037FDA003F1380030313C0030013E0163F0060ED1FF000E0150F160717F86C1503A216 017EA37E17F0A27E16036C16E06D140717C06DEC0F80D8FCE0EC1F000178143ED8F83E14 FC3AF01FC00FF80107B512E0D8E001148027C0003FF8C7FC2D417DBF34>I<1438A71478 A414F8A31301A31303A21307130F131FA2137F13FF1203000F90B6FCB8FCA3260007F8C8 FCB3AE17E0AE0103EC01C080A2010115806E130313006EEB07006E130E6E6C5A91381FF0 78913807FFF06E5B9138007F802B597FD733>I<B6D8801FB500E090B512F8A4000301F0 C7D87FFCC7001F1380C601C0DA1FF0913807FE00017F735A71486E5A725D013F6217076E 81011F030F5EA26E6F1403010F031F5E171D6E6F14070107033D93C7FC17386E6F5C0103 0378150EEF707F6E70131E010103F0151CEFE03F6E70133C6D02011638EFC01F03806F13 78027F01031670EF800F03C06F13F0023F01075EEF000703E0EDF801021F495E040E1303 03F0EDFC03020F011E5E041C130103F8EDFE070207013C93C8FC0438130003FC6F5A0203 0178150E0470147F03FE169E020101F0159C4C143F03FF16FC6E5F4C141FA2037F5E4C14 0FA2033F5E93C81207A26F5E031E1503030E5E5D3F7FBD60>119 D<001FB81280A391C70001130001F85D01E0140301804A5A4C5A90C85B001E151F4C5A48 5E167F4C5A94C7FC5D00384A5A5E15074B5A4B5A5E153FC8485A5E15FF4A90C8FC5D1403 4A5A4A5AA24A5A4A5A5D147F4A48EB038092C7FC5B495A5C13074948EC0700495A5C133F 495A5C01FF5D4890C8FC5B00035E485A495D000F5E484815FE48481401491407007F157F B8FCA3313E7DBD3A>122 D E /FD load 0 FD currentfont 144 scalefont put/FMat X/FBB X/IEn X %EndDVIPSBitmapFont end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: Letter /setpagedevice where { pop << /PageSize [612 792] >> setpagedevice } { /letter where { pop letter } if } ifelse %%EndPaperSize end HPSdict begin /TargetAnchors 0 dict dup begin end targetdump-hook def end TeXDict begin %%EndSetup %%Page: 1 1 gsave %matrix defaultmatrix setmatrix 90 rotate /stampsize 20 def /Times-Roman findfont stampsize scalefont setfont currentfont /FontBBox get aload pop /pdf@top exch 1000 div stampsize mul def pop /pdf@bottom exch 1000 div stampsize mul def pop 256 -32 moveto currentpoint /pdf@lly exch pdf@bottom add def /pdf@llx exch 2 sub def 0.5 setgray (arXiv:2109.00709v2 [cs.IT] 9 Sep 2021) show currentpoint /pdf@ury exch pdf@top add def /pdf@urx exch 2 add def /pdfmark where{pop}{userdict /pdfmark /cleartomark load put}ifelse [ /H /I /Border [0 0 1] /BS <</S/D/D[2 6]/W 1>> /Color [0 1 1] /Action << /Subtype /URI /URI (http://arxiv.org/abs/2109.00709v2)>> /Subtype /Link /Rect[pdf@llx pdf@lly pdf@urx pdf@ury] /ANN pdfmark grestore TeXDict begin HPSdict begin 1 0 bop 0 0 a SDict begin [/Producer (dvips + Distiller)/Title ()/Subject ()/Creator (LaTeX with hyperref)/Author ()/Keywords () /DOCINFO pdfmark end 0 0 a 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.1) cvn /DEST pdfmark end -8 -8 a Black 0 TeXcolorgray Black 0 TeXcolorgray 0 0 a SDict begin [/Count 0/Dest (section.1) cvn/Title (1 Motivation and result) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/Count 3/Dest (section.2) cvn/Title (2 Proof) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/Count 0/Dest (subsection.2.1) cvn/Title (2.1 Proof of Eq. \(1.4\)) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/Count 0/Dest (subsection.2.2) cvn/Title (2.2 Proof of \(1.5\)) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/Count 0/Dest (subsection.2.3) cvn/Title (2.3 Proof of \(1.6\)) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/Count 0/Dest (section.3) cvn/Title (3 Extension to the stochastic localization process) /OUT pdfmark end 0 0 a 0 0 a SDict begin [/PageMode /none/Page 1/View [/FitH] /DOCVIEW pdfmark end 0 0 a 0 0 a SDict begin [ {Catalog}<<>> /PUT pdfmark end 0 0 a 0 0 a SDict begin H.S end 0 0 a 0 0 a SDict begin 13.6 H.A end 0 0 a 0 0 a SDict begin [/View [/XYZ H.V]/Dest (Doc-Start) cvn /DEST pdfmark end 0 0 a 0 TeXcolorgray 0 TeXcolorgray 283 456 a FD(An)44 b(Information-Theoretic)g(View)h(of)e(Sto)t(c)l (hastic)h(Lo)t(calization)1004 748 y FC(Ahmed)33 b(El)f(Alaoui)1750 711 y FB(*)2107 748 y FC(Andrea)h(Mon)m(tanari)2896 711 y FB(\204)p 0 TeXcolorgray 0 TeXcolorgray 1767 1210 a FA(Abstract)p 0 TeXcolorgray 0 TeXcolorgray 352 1373 a Fz(Giv)n(en)e(a)g(probabilit)n(y)d(measure)i Fy(\026)i Fz(o)n(v)n(er)e Fx(R)1745 1343 y Fw(n)1796 1373 y Fz(,)j(it)f(is)e (often)j(useful)e(to)h(appro)n(ximate)c(it)j(b)n(y)h(the)g(con)n(v)n (ex)227 1473 y(com)n(bination)c(of)k(a)f(small)d(n)n(um)n(b)r(er)i(of)i (probabilit)n(y)27 b(measures,)k(suc)n(h)g(that)h(eac)n(h)e(comp)r (onen)n(t)h(is)f(close)g(to)227 1572 y(a)f(pro)r(duct)h(measure.)40 b(Recen)n(tly)-7 b(,)29 b(Ronen)g(Eldan)f(used)i(a)f(sto)r(c)n(hastic)e (lo)r(calization)e(argumen)n(t)i(to)i(pro)n(v)n(e)f(a)227 1672 y(general)h(decomp)r(osition)f(result)j(of)g(this)g(t)n(yp)r(e.)49 b(In)31 b(Eldan's)f(theorem,)h(the)h(`n)n(um)n(b)r(er)e(of)i(comp)r (onen)n(ts')e(is)227 1772 y(c)n(haracterized)c(b)n(y)j(the)g(en)n(trop) n(y)f(of)h(the)g(mixture,)f(and)g(`closeness)f(to)i(pro)r(duct')g(is)f (c)n(haracterized)e(b)n(y)i(the)227 1871 y(co)n(v)-5 b(ariance)25 b(matrix)g(of)i(eac)n(h)g(comp)r(onen)n(t.)352 1971 y(W)-7 b(e)40 b(presen)n(t)f(an)g(elemen)n(tary)d(pro)r(of)j(of)h (Eldan's)d(theorem)h(whic)n(h)h(mak)n(es)e(use)j(of)f(an)g(information) 227 2071 y(theory)34 b(\(or)f(estimation)e(theory\))i(in)n (terpretation.)53 b(The)35 b(pro)r(of)e(is)g(analogous)e(to)i(the)i (one)f(of)g(an)f(earlier)227 2170 y(decomp)r(osition)24 b(result)j(kno)n(wn)g(as)f(the)i(`pinning)e(lemma.')0 2322 y SDict begin H.S end 0 2322 a 0 2322 a SDict begin 13.6 H.A end 0 2322 a 0 2322 a SDict begin [/View [/XYZ H.V]/Dest (section.1) cvn /DEST pdfmark end 0 2322 a 173 x Fv(1)135 b(Motiv)-7 b(ation)44 b(and)g(result)0 2737 y Fu(Let)23 b Ft(\026)g Fu(b)s(e)f(an)g(arbitrary)g(Borel)h(probabilit) m(y)d(measure)j(on)f Fs(R)2063 2704 y Fr(n)2116 2737 y Fu(.)38 b(A)23 b(broadly)e(useful)g(approac)m(h)i(to)h(understanding) 0 2850 y Ft(\026)30 b Fu(is)f(to)j(decomp)s(ose)e(it)g(in)m(to)g (simpler)e(comp)s(onen)m(ts)1448 3085 y Ft(\026)d Fu(=)1624 2961 y Fq(Z)1675 3168 y Fp(\002)1749 3085 y Ft(\026)1804 3100 y Fr(\022)1858 3085 y Ft(\032)p Fu(\(d)p Ft(\022)s Fu(\))g(=:)g Fs(E)2272 3100 y Fr(\022)2317 3085 y Ft(\026)2372 3100 y Fr(\022)2426 3085 y Ft(:)3713 3085 y SDict begin H.S end 3713 3085 a 3713 3085 a SDict begin 16.6 H.A end 3713 3085 a 3713 3085 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.1) cvn /DEST pdfmark end 3713 3085 a Fu(\(1.1\))0 3330 y(Here)i(\(\002)p Ft(;)15 b Fo(F)422 3344 y Fp(\002)482 3330 y Ft(;)g(\032)p Fu(\))27 b(is)e(an)i(abstract)g(probabilit)m(y)d (space,)k(and,)f(for)f(eac)m(h)i Ft(\022)s Fu(,)e Ft(\026)2604 3345 y Fr(\022)2669 3330 y Fu(is)g(a)h(probabilit)m(y)c(measure)k(on)f Fs(R)3822 3297 y Fr(n)3875 3330 y Fu(.)0 3442 y(In)k(this)f(pap)s(er,)g (the)i(comp)s(onen)m(ts)g Ft(\026)1284 3457 y Fr(\022)1353 3442 y Fu(will)c(b)s(e)j(simple)e(in)h(the)i(sense)f(of)h(b)s(eing)e (close)i(to)g(pro)s(duct)e(measures.)141 3594 y(Of)34 b(course,)i(the)f(decomp)s(osition)f(\()p BrickRed 1383 3594 a SDict begin H.S end 1383 3594 a BrickRed Fu(1.1)p BrickRed 1499 3536 a SDict begin H.R end 1499 3536 a 1499 3594 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.1) cvn H.B /ANN pdfmark end 1499 3594 a 0 TeXcolorgray Fu(\))h(is)f(alw)m(a)m(ys)h(p)s(ossible:)47 b(just)34 b(tak)m(e)j(\002)32 b(=)g Fs(R)2998 3561 y Fr(n)3051 3594 y Fu(,)k Ft(\032)c Fu(=)g Ft(\026)p Fu(,)k(and)e Ft(\026)3646 3609 y Fr(\022)3717 3594 y Fu(=)f Ft(\016)3861 3609 y Fr(\022)0 3707 y Fu(\(a)g(p)s(oin)m(t)f(mass)g(at)h Ft(\022)s Fu(\))f(for)g Ft(\022)f Fo(2)d Fs(R)1168 3674 y Fr(n)1221 3707 y Fu(.)47 b(This)30 b(is)i(a)g(`maxim)m(um)g(en)m (trop)m(y')h(decomp)s(osition)e(\(all)h(the)h(en)m(trop)m(y)g(of)f Ft(\026)0 3820 y Fu(is)h(pushed)g(in)m(to)h Ft(\032)p Fu(\),)h(and)f(is)f(not)i(particularly)c(useful.)51 b(W)-8 b(e)35 b(will)c(b)s(e)j(instead)f(in)m(terested)i(in)d(decomp)s (ositions)0 3933 y(suc)m(h)e(that)h Ft(\032)f Fu(has)g(small)f(en)m (trop)m(y)-8 b(,)32 b(and)e(the)g Ft(\026)1616 3948 y Fr(\022)1655 3933 y Fu('s)h(are)f(only)g(appro)m(ximately)g(pro)s(duct) f(measures.)141 4085 y(Lo)m(w-en)m(trop)m(y)k(decomp)s(ositions)c(ha)m (v)m(e)k(found)d(applications)f(in)h(statistical)h(mec)m(hanics)g([)p OliveGreen 3258 4085 a SDict begin H.S end 3258 4085 a OliveGreen Fu(COP19)p OliveGreen 3548 4023 a SDict begin H.R end 3548 4023 a 3548 4085 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.coja2019bethe) cvn H.B /ANN pdfmark end 3548 4085 a 0 TeXcolorgray Fu(,)p OliveGreen 3604 4085 a SDict begin H.S end 3604 4085 a OliveGreen Fu(Aus19)p OliveGreen 3849 4023 a SDict begin H.R end 3849 4023 a 3849 4085 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.austin2019structure) cvn H.B /ANN pdfmark end 3849 4085 a 0 TeXcolorgray Fu(],)0 4198 y(random)h(graph)g(theory)g([)p OliveGreen 908 4198 a SDict begin H.S end 908 4198 a OliveGreen Fu(CD16)p OliveGreen 1135 4136 a SDict begin H.R end 1135 4136 a 1135 4198 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.chatterjee2016nonlinear) cvn H.B /ANN pdfmark end 1135 4198 a 0 TeXcolorgray Fu(,)p OliveGreen 1192 4198 a SDict begin H.S end 1192 4198 a OliveGreen Fu(Eld18)p OliveGreen 1421 4135 a SDict begin H.R end 1421 4135 a 1421 4198 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2018gaussian) cvn H.B /ANN pdfmark end 1421 4198 a 0 TeXcolorgray Fu(],)h(random)f(constrain)m(t)h (satisfaction)f(problems)f([)p OliveGreen 3167 4198 a SDict begin H.S end 3167 4198 a OliveGreen Fu(A)m(COGM20)p OliveGreen 3615 4136 a SDict begin H.R end 3615 4136 a 3615 4198 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.ayre2020satisfiability) cvn H.B /ANN pdfmark end 3615 4198 a 0 TeXcolorgray Fu(],)i(high-)0 4311 y(dimensional)38 b(statistics)i([)p OliveGreen 926 4311 a SDict begin H.S end 926 4311 a OliveGreen Fu(COKPZ18)p OliveGreen 1342 4249 a SDict begin H.R end 1342 4249 a 1342 4311 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.coja2018information) cvn H.B /ANN pdfmark end 1342 4311 a 0 TeXcolorgray Fu(],)j(analysis)d(of)g(Mark)m(o)m(v)j(c)m(hains)c([)p OliveGreen 2553 4311 a SDict begin H.S end 2553 4311 a OliveGreen Fu(EKZ21)p OliveGreen 2833 4249 a SDict begin H.R end 2833 4249 a 2833 4311 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2021spectral) cvn H.B /ANN pdfmark end 2833 4311 a 0 TeXcolorgray Fu(])i(to)g(name)f(a)h(few)g(areas.)72 b(A)0 4424 y(generic)35 b(construction)g(consists)f(in)g(letting)h Ft(\026)1637 4439 y Fr(\022)1710 4424 y Fu(b)s(e)g(the)g(conditional)f (distribution)d(of)k Fn(x)e Fo(\030)g Ft(\026)i Fu(giv)m(en)g(a)g (small)0 4537 y(subset)24 b(of)g(the)h(co)s(ordinates)f(of)g Fn(x)g Fu(\(see)i(b)s(elo)m(w)d(for)h(further)f(discussion\).)37 b(This)22 b(leads)i(to)h(the)g(so-called)f(`pinning)0 4650 y(lemma')41 b(whic)m(h)e(w)m(as)i(disco)m(v)m(ered)g(indep)s (enden)m(tly)d(in)h([)p OliveGreen 1972 4650 a SDict begin H.S end 1972 4650 a OliveGreen Fu(Mon08)p OliveGreen 2243 4588 a SDict begin H.R end 2243 4588 a 2243 4650 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.MontanariSparse) cvn H.B /ANN pdfmark end 2243 4650 a 0 TeXcolorgray Fu(,)p OliveGreen 2309 4650 a SDict begin H.S end 2309 4650 a OliveGreen Fu(R)-8 b(T12)p OliveGreen 2525 4588 a SDict begin H.R end 2525 4588 a 2525 4650 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.raghavendra2012approximating) cvn H.B /ANN pdfmark end 2525 4650 a 0 TeXcolorgray Fu(].)72 b(Recen)m(tly)-8 b(,)44 b(Ronen)d(Eldan)e([)p OliveGreen 3646 4650 a SDict begin H.S end 3646 4650 a OliveGreen Fu(Eld20)p OliveGreen 3875 4587 a SDict begin H.R end 3875 4587 a 3875 4650 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2020taming) cvn H.B /ANN pdfmark end 3875 4650 a 0 TeXcolorgray Fu(])0 4763 y(p)s(oin)m(ted)32 b(out)h(that)h(the)g (pining)c(lemma)j(can)g(b)s(e)g(sub)s(optimal)d(and)j(pro)m(v)m(ed)h(a) f(general)g(decomp)s(osition)f(result)0 4876 y(with)25 b(b)s(etter)h(prop)s(erties.)37 b(Eldan's)25 b(pro)s(of)g(follo)m(ws)g (the)i(general)f(approac)m(h)g(of)g(`sto)s(c)m(hastic)h(lo)s (calization')e(whic)m(h)0 4989 y(is)k(in)g(turn)h(inspired)d(b)m(y)j (ideas)g(in)f(high-dimensional)e(geometry)k([)p OliveGreen 2328 4989 a SDict begin H.S end 2328 4989 a OliveGreen Fu(Eld16)p OliveGreen 2557 4925 a SDict begin H.R end 2557 4925 a 2557 4989 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2016skorokhod) cvn H.B /ANN pdfmark end 2557 4989 a 0 TeXcolorgray Fu(].)p 0 TeXcolorgray 0 5071 1560 4 v 104 5125 a Fm(*)138 5156 y Fl(Departmen)n(t)24 b(of)j(Statistics)f(and)g(Data)f(Science,)i (Cornell)g(Univ)n(ersit)n(y)-6 b(.)107 5218 y Fm(\204)138 5250 y Fl(Departmen)n(t)24 b(of)j(Electrical)g(Engineering)g(and)e (Departmen)n(t)f(of)j(Statistics,)g(Stanford)e(Univ)n(ersit)n(y)-6 b(.)p 0 TeXcolorgray 0 TeXcolorgray 1927 5499 a Fu(1)p 0 TeXcolorgray eop end end %%Page: 2 2 TeXDict begin HPSdict begin 2 1 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.2) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 141 91 a Fu(The)42 b(purp)s(ose)f(of)i(this)e(note)i(is)f(to)h(presen)m (t)g(a)g(new)f(in)m(terpretation)g(of)g(Eldan's)g(theorem,)k(leading)41 b(to)0 204 y(an)h(elemen)m(tary)i(pro)s(of.)76 b(The)42 b(in)m(terpretation)g(has)h(an)f(information-theoretic)g(\(or)h (estimation-theoretic\))0 317 y(nature.)d(W)-8 b(e)28 b(consider)f(a)h(noisy)e(comm)m(unication)h(c)m(hannel)g(that)i(tak)m (es)g(as)e(input)f Fn(x)f Fo(\030)g Ft(\026)i Fu(and)g(outputs)h Ft(\022)s Fu(.)38 b(The)0 430 y(distribution)30 b Ft(\026)554 445 y Fr(\022)627 430 y Fu(is)k(then)f(the)i(conditional)d (distribution)f(of)j(the)g(c)m(hannel)g(input)e(giv)m(en)i(its)g (output)f Ft(\022)s Fu(.)52 b(Note)0 543 y(that)35 b(this)d(is)i(the)g (same)g(in)m(terpretation)f(as)i(for)e(the)i(pro)s(of)e(of)h(the)g (pinning)d(lemma)j(in)e([)p OliveGreen 3140 543 a SDict begin H.S end 3140 543 a OliveGreen Fu(Mon08)p OliveGreen 3411 481 a SDict begin H.R end 3411 481 a 3411 543 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.MontanariSparse) cvn H.B /ANN pdfmark end 3411 543 a 0 TeXcolorgray Fu(].)52 b(The)33 b(main)0 656 y(di\013erence)27 b(is)g(that)i(while)d(in)g(the)j (pinning)24 b(lemma)k(the)g(c)m(hannel)f Fn(x)f Fo(!)f Ft(\022)30 b Fu(is)d(an)h(erasure)f(c)m(hannel,)h(here)g(w)m(e)h(will)0 769 y(use)h(a)h(Gaussian)e(c)m(hannel.)141 921 y(T)-8 b(urning)30 b(to)k(our)e(construction,)g(let)h Fn(Q)28 b Fo(2)h Fs(R)1705 888 y Fr(n)p Fk(\002)p Fr(n)1888 921 y Fu(b)s(e)j(a)h(\014xed)f(p)s(ositiv)m(e)f(semide\014nite)g(matrix,)h Fn(x)d Fo(\030)f Ft(\026)33 b Fu(and)0 1034 y(de\014ne)d(the)g(noisy)g (observ)-5 b(ation)30 b(\(c)m(hannel)g(output\))g Fn(y)j Fu(via)1563 1238 y Fn(y)28 b Fu(=)1741 1168 y Fo(p)p 1817 1168 51 4 v 70 x Ft(\034)d Fn(x)20 b Fu(+)g Fn(Q)2132 1200 y Fp(1)p Fr(=)p Fp(2)2242 1238 y Fn(z)g Ft(;)3713 1238 y SDict begin H.S end 3713 1238 a 3713 1238 a SDict begin 16.6 H.A end 3713 1238 a 3713 1238 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.2) cvn /DEST pdfmark end 3713 1238 a Fu(\(1.2\))0 1442 y(where)33 b Fn(z)j Fo(\030)31 b Fj(N)p Fu(\(0)p Ft(;)15 b Fn(I)693 1456 y Fr(n)740 1442 y Fu(\),)35 b(and)e Ft(\034)44 b Fu(is)33 b(uniform)f(in)g(the)i (in)m(terv)-5 b(al)33 b([1)p Ft(;)15 b Fu(2].)53 b(The)34 b(random)f(v)-5 b(ariables)32 b Fn(x)p Fu(,)j Fn(z)j Fu(and)c Ft(\034)44 b Fu(are)0 1555 y(indep)s(enden)m(t.)37 b(F)-8 b(or)26 b(an)m(y)f(\014xed)f Ft(\034)36 b Fu(=)25 b Ft(t)p Fu(,)h(this)e(is)g(a)h(noisy)f(Gaussian)g(c)m(hannel,)i(with)e (signal-to-noise)h(ratio)g(\(SNR\))0 1668 y Ft(t)p Fu(.)44 b(In)m(tro)s(ducing)30 b(a)h(random)g Ft(\034)41 b Fu(is)31 b(con)m(v)m(enien)m(t)i(for)e(the)g(pro)s(of,)h(but)e(the)i(estimates)g (w)m(e)g(pro)m(v)m(e)g(hold)e(also)i(\(with)0 1781 y(p)s(ossibly)27 b(w)m(orse)k(constan)m(ts\))h(for)e(all)g Ft(\034)35 b Fo(2)25 b Fu([1)p Ft(;)15 b Fu(2],)32 b(except)f(on)g(a)f(set)h(of)g (small)e(measure.)141 1933 y(W)-8 b(e)31 b(set)e Ft(\022)f Fu(=)d(\()p Fn(y)s Ft(;)15 b(\034)10 b Fu(\))30 b(and)f Ft(\026)1082 1948 y Fr(\022)1121 1933 y Fu(\()p Fo(\001)p Fu(\))d(=)f Ft(\026)p Fu(\()15 b Fo(\001)g(j)p Ft(\022)s Fu(\).)41 b(It)29 b(is)f(clear)i(that)g Ft(\026)25 b Fu(=)g Fs(E)2485 1948 y Fr(\022)2530 1933 y Ft(\026)2585 1948 y Fr(\022)2653 1933 y Fu(so)30 b(that)g(the)f(decomp)s(osition)f (\()p BrickRed 3748 1933 a SDict begin H.S end 3748 1933 a BrickRed Fu(1.1)p BrickRed 3865 1874 a SDict begin H.R end 3865 1874 a 3865 1933 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.1) cvn H.B /ANN pdfmark end 3865 1933 a 0 TeXcolorgray Fu(\))0 2046 y(holds.)141 2198 y(Let)33 b Ft(\027)38 b Fu(b)s(e)31 b(a)i(bac)m(kground)f(measure)g(on)g Fs(R)1627 2165 y Fr(n)1712 2198 y Fu(suc)m(h)g(that)h Ft(\026)f Fu(is)f(absolutely)g(con)m(tin)m(uous)h(with)f(resp)s(ect)h (to)h Ft(\027)6 b Fu(,)0 2311 y(i.e.)40 b Ft(\026)25 b Fo(\034)g Ft(\027)6 b Fu(.)40 b(Recall)29 b(that)h(the)g(relativ)m(e) f(en)m(trop)m(y)h(of)f Ft(\026)g Fu(with)f(resp)s(ect)h(to)h Ft(\027)35 b Fu(\(Kullbac)m(k-Leibler)27 b(div)m(ergence\))j(is)0 2424 y(de\014ned)f(b)m(y)1476 2666 y(D\()p Ft(\026)p Fo(k)p Ft(\027)6 b Fu(\))26 b(=)f Fs(E)1943 2680 y Fr(\026)2010 2666 y Fu(log)2153 2604 y(d)p Ft(\026)p 2153 2645 106 4 v 2155 2728 a Fu(d)p Ft(\027)2268 2666 y Fu(\()p Fn(x)q Fu(\))p Ft(:)3713 2666 y SDict begin H.S end 3713 2666 a 3713 2666 a SDict begin 16.6 H.A end 3713 2666 a 3713 2666 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.3) cvn /DEST pdfmark end 3713 2666 a Fu(\(1.3\))0 2896 y(It)30 b(is)g(easy)h(to)g(see)g(that)g Ft(\026)900 2911 y Fr(\022)964 2896 y Fo(\034)25 b Ft(\026)g Fo(\034)g Ft(\027)36 b Fu(a.s.,)c(so)e(that)h(D\()p Ft(\026)2012 2911 y Fr(\022)2052 2896 y Fo(k)p Ft(\027)6 b Fu(\))31 b(is)e(w)m(ell)g(de\014ned.)0 3084 y SDict begin H.S end 0 3084 a 0 3084 a SDict begin 13.6 H.A end 0 3084 a 0 3084 a SDict begin [/View [/XYZ H.V]/Dest (theorem.1) cvn /DEST pdfmark end 0 3084 a 0 TeXcolorgray Fi(Theorem)34 b(1)h Fu(\([)p OliveGreen 591 3084 a SDict begin H.S end 591 3084 a OliveGreen Fu(Eld20)p OliveGreen 820 3020 a SDict begin H.R end 820 3020 a 820 3084 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2020taming) cvn H.B /ANN pdfmark end 820 3084 a 0 TeXcolorgray Fu(]\))p Fi(.)p 0 TeXcolorgray 42 w Fh(We)e(have)1391 3288 y Fs(E)1445 3303 y Fr(\022)1490 3288 y Fu(Co)m(v)r(\()p Ft(\026)1738 3303 y Fr(\022)1777 3288 y Fu(\))26 b Fo(\026)f Fn(Q)p Ft(;)3713 3288 y SDict begin H.S end 3713 3288 a 3713 3288 a SDict begin 16.6 H.A end 3713 3288 a 3713 3288 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.4) cvn /DEST pdfmark end 3713 3288 a Fu(\(1.4\))814 3475 y(0)h Fo(\024)f Fs(E)1036 3490 y Fr(\022)1081 3475 y Fu(D\()p Ft(\026)1240 3490 y Fr(\022)1279 3475 y Fo(k)p Ft(\027)6 b Fu(\))21 b Fo(\000)f Fu(D\()p Ft(\026)p Fo(k)p Ft(\027)6 b Fu(\))26 b Fo(\024)1944 3413 y Fu(1)p 1944 3454 46 4 v 1944 3537 a(2)2015 3475 y(log)16 b(det)2289 3401 y Fq(\000)2330 3475 y Fn(I)2384 3489 y Fr(n)2451 3475 y Fu(+)k(2)p Fn(Q)2666 3437 y Fk(\000)p Fp(1)2761 3475 y Fu(Co)m(v)q(\()p Ft(\026)p Fu(\))3043 3401 y Fq(\001)3086 3475 y Ft(;)3713 3475 y SDict begin H.S end 3713 3475 a 3713 3475 a SDict begin 16.6 H.A end 3713 3475 a 3713 3475 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.5) cvn /DEST pdfmark end 3713 3475 a Fu(\(1.5\))789 3651 y Fs(E)844 3666 y Fr(\022)889 3577 y Fq(\010)942 3651 y Fu(Co)m(v)r(\()p Ft(\026)1190 3666 y Fr(\022)1229 3651 y Fu(\))p Fn(Q)1343 3613 y Fk(\000)p Fp(1)1437 3651 y Fu(Co)m(v)r(\()p Ft(\026)1685 3666 y Fr(\022)1724 3651 y Fu(\))1759 3577 y Fq(\011)1838 3651 y Fo(\026)25 b Fu(Co)m(v)r(\()p Ft(\026)p Fu(\))p Ft(:)3713 3651 y SDict begin H.S end 3713 3651 a 3713 3651 a SDict begin 16.6 H.A end 3713 3651 a 3713 3651 a SDict begin [/View [/XYZ H.V]/Dest (equation.1.6) cvn /DEST pdfmark end 3713 3651 a Fu(\(1.6\))0 3855 y SDict begin H.S end 0 3855 a 0 3855 a SDict begin 13.6 H.A end 0 3855 a 0 3855 a SDict begin [/View [/XYZ H.V]/Dest (remark.1.1) cvn /DEST pdfmark end 0 3855 a 0 TeXcolorgray Fi(Remark)36 b(1.1.)p 0 TeXcolorgray 46 w Fu(Equations)31 b(\()p BrickRed 1072 3855 a SDict begin H.S end 1072 3855 a BrickRed Fu(1.4)p BrickRed 1188 3796 a SDict begin H.R end 1188 3796 a 1188 3855 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.4) cvn H.B /ANN pdfmark end 1188 3855 a 0 TeXcolorgray Fu(\))h(and)f(\()p BrickRed 1468 3855 a SDict begin H.S end 1468 3855 a BrickRed Fu(1.6)p BrickRed 1585 3796 a SDict begin H.R end 1585 3796 a 1585 3855 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.6) cvn H.B /ANN pdfmark end 1585 3855 a 0 TeXcolorgray Fu(\))g(b)s(ound)f(the)i(co)m(v)-5 b(ariance)33 b(of)e(the)h(comp)s (onen)m(t)g(measure)g Ft(\026)3671 3870 y Fr(\022)3709 3855 y Fu(.)45 b(On)0 3968 y(the)36 b(other)g(hand,)g(Eq.)f(\()p BrickRed 869 3968 a SDict begin H.S end 869 3968 a BrickRed Fu(1.5)p BrickRed 986 3909 a SDict begin H.R end 986 3909 a 986 3968 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.5) cvn H.B /ANN pdfmark end 986 3968 a 0 TeXcolorgray Fu(\))h(con)m(trols)g(the)f(en)m(trop)m(y)i(of)e(the)h(v)-5 b(ariable)34 b Ft(\022)s Fu(,)j(whic)m(h)d(is)h(giv)m(en)g(b)m(y)h(the) f(di\013erence)0 4081 y(b)s(et)m(w)m(een)29 b(the)g(en)m(trop)m(y)g(of) g(the)f(mixture)g(and)f(the)i(a)m(v)m(erage)i(en)m(trop)m(y)e(of)g(the) g(comp)s(onen)m(ts.)40 b(More)29 b(precisely)-8 b(,)28 b(in)0 4194 y(information)e(theoretic)i(terms,)h(w)m(e)f(con)m(trol)g (the)g(m)m(utual)f(information)f Fs(E)2583 4209 y Fr(\022)2629 4194 y Fu(D\()p Ft(\026)2788 4209 y Fr(\022)2827 4194 y Fo(k)p Ft(\027)6 b Fu(\))15 b Fo(\000)g Fu(D\()p Ft(\026)p Fo(k)p Ft(\027)6 b Fu(\))26 b(=)f(I\()p Ft(\022)s Fu(;)15 b Fn(x)p Fu(\))28 b(\(see)0 4307 y(pro)s(of)i(for)g(de\014nitions\).)0 4494 y SDict begin H.S end 0 4494 a 0 4494 a SDict begin 13.6 H.A end 0 4494 a 0 4494 a SDict begin [/View [/XYZ H.V]/Dest (remark.1.2) cvn /DEST pdfmark end 0 4494 a 0 TeXcolorgray Fi(Remark)36 b(1.2.)p 0 TeXcolorgray 46 w Fu(As)c(men)m(tioned)f(ab)s(o)m(v)m(e,)i(the)f(di\013erence)f(b)s(et) m(w)m(een)h(the)g(decomp)s(osition)e(presen)m(ted)i(here)g(and)0 4607 y(the)39 b(pinning)d(lemma)i(of)h([)p OliveGreen 940 4607 a SDict begin H.S end 940 4607 a OliveGreen Fu(Mon08)p OliveGreen 1210 4545 a SDict begin H.R end 1210 4545 a 1210 4607 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.MontanariSparse) cvn H.B /ANN pdfmark end 1210 4607 a 0 TeXcolorgray Fu(])g(is)f(in)f(the)i(c)m(hoice)h(of)f(the)g(noisy)f(c)m(hannel.)65 b(Here)39 b(w)m(e)g(use)g(the)g(Gaussian)0 4720 y(c)m(hannel)d(\()p BrickRed 372 4720 a SDict begin H.S end 372 4720 a BrickRed Fu(1.2)p BrickRed 488 4662 a SDict begin H.R end 488 4662 a 488 4720 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.2) cvn H.B /ANN pdfmark end 488 4720 a 0 TeXcolorgray Fu(\))h(\(neglecting)g(for)f(a)h(momen)m(t)g(the)g(fact)g(that)h Ft(\034)46 b Fu(is)36 b(random\).)58 b(In)36 b(con)m(trast,)k(in)35 b([)p OliveGreen 3415 4720 a SDict begin H.S end 3415 4720 a OliveGreen Fu(Mon08)p OliveGreen 3685 4658 a SDict begin H.R end 3685 4658 a 3685 4720 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.MontanariSparse) cvn H.B /ANN pdfmark end 3685 4720 a 0 TeXcolorgray Fu(],)k(the)0 4833 y(c)m(hannel)k(is)f(an)h(erasure)g (c)m(hannel:)66 b Ft(y)1351 4847 y Fr(i)1425 4833 y Fu(=)46 b Ft(x)1594 4847 y Fr(i)1666 4833 y Fu(with)41 b(probabilit)m(y)g Ft(")j Fu(and)e Ft(y)2683 4847 y Fr(i)2758 4833 y Fu(=)k Fo(\003)e Fu(\(an)f(erasure\))g(otherwise,)0 4946 y(indep)s(enden)m (tly)27 b(across)k(co)s(ordinates.)0 5134 y SDict begin H.S end 0 5134 a 0 5134 a SDict begin 13.6 H.A end 0 5134 a 0 5134 a SDict begin [/View [/XYZ H.V]/Dest (remark.1.3) cvn /DEST pdfmark end 0 5134 a 0 TeXcolorgray Fi(Remark)48 b(1.3.)p 0 TeXcolorgray 46 w Fu(The)41 b(exp)s(ectation)i(with)d(resp)s (ect)i(to)h Ft(\022)h Fu(in)d(Eqs.)h(\()p BrickRed 2436 5134 a SDict begin H.S end 2436 5134 a BrickRed Fu(1.4)p BrickRed 2552 5075 a SDict begin H.R end 2552 5075 a 2552 5134 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.4) cvn H.B /ANN pdfmark end 2552 5134 a 0 TeXcolorgray Fu(\))g(to)h(\()p BrickRed 2787 5134 a SDict begin H.S end 2787 5134 a BrickRed Fu(1.6)p BrickRed 2904 5075 a SDict begin H.R end 2904 5075 a 2904 5134 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.6) cvn H.B /ANN pdfmark end 2904 5134 a 0 TeXcolorgray Fu(\))f(is)f(an)h(exp)s(ectation)g(with)0 5247 y(resp)s(ect)d(to)g(\()p Ft(\034)5 b(;)15 b Fn(y)t Fu(\):)57 b Fs(E)789 5262 y Fr(\022)834 5247 y Fu(\()15 b Fo(\001)g Fu(\))40 b(=)f Fs(E)1163 5261 y Fr(\034)1213 5247 y Fu(\()p Fs(E)1302 5265 y Fg(y)9 b Fk(j)p Fr(\034)1416 5247 y Fu(\()15 b Fo(\001)g(j)p Ft(\034)10 b Fu(\)\).)67 b(The)38 b(exp)s(ectation)h(with)e(resp)s(ect)i(to)g Ft(\034)49 b Fu(can)39 b(b)s(e)f(eliminated)p 0 TeXcolorgray 1927 5499 a(2)p 0 TeXcolorgray eop end end %%Page: 3 3 TeXDict begin HPSdict begin 3 2 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.3) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 91 a Fu(using)42 b(Mark)m(o)m(v)k(inequalit)m(y)-8 b(.)80 b(This)42 b(implies)f(that)k(there)f(exists)f(a)h(set)h Ft(T)60 b Fo(\022)48 b Fu([1)p Ft(;)15 b Fu(2])45 b(of)f(Leb)s(esgue)g (measure)0 204 y Fo(j)p Ft(T)13 b Fo(j)27 b(\025)f Fu(1)21 b Fo(\000)g Fu(3)p Ft(M)541 171 y Fk(\000)p Fp(1)667 204 y Fu(suc)m(h)30 b(that,)j(for)e(an)m(y)g Ft(t)26 b Fo(2)h Ft(T)13 b Fu(,)31 b(the)g(inequalities)e(\()p BrickRed 2348 204 a SDict begin H.S end 2348 204 a BrickRed Fu(1.4)p BrickRed 2464 146 a SDict begin H.R end 2464 146 a 2464 204 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.4) cvn H.B /ANN pdfmark end 2464 204 a 0 TeXcolorgray Fu(\))q(,)i(\()p BrickRed 2591 204 a SDict begin H.S end 2591 204 a BrickRed Fu(1.5)p BrickRed 2708 146 a SDict begin H.R end 2708 146 a 2708 204 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.5) cvn H.B /ANN pdfmark end 2708 204 a 0 TeXcolorgray Fu(\),)h(\()p BrickRed 2835 204 a SDict begin H.S end 2835 204 a BrickRed Fu(1.6)p BrickRed 2951 146 a SDict begin H.R end 2951 146 a 2951 204 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.6) cvn H.B /ANN pdfmark end 2951 204 a 0 TeXcolorgray Fu(\))f(hold)f(up)g(to)i(a)g (factor)g Ft(M)0 317 y Fu(for)f Ft(\034)36 b Fu(=)26 b Ft(t)p Fu(.)42 b(F)-8 b(or)32 b(instance,)f(the)g(\014rst)f (inequalit)m(y)g(is)g(replaced)g(b)m(y)h Fs(E)11 b Fu(\(Co)n(v)c(\()p Ft(\026)2647 332 y Fr(\022)2686 317 y Fu(\))p Fo(j)p Ft(\034)37 b Fu(=)26 b Ft(t)p Fu(\))g Fo(\026)g Ft(M)10 b Fn(Q)p Fu(.)43 b(Note)32 b(that)g(the)0 430 y(conditional)d(exp)s (ectation)i(is)e(simply)f(the)i(exp)s(ectation)h(with)e(resp)s(ect)i (to)g Fn(y)d Fu(=)2796 356 y Fo(p)p 2872 356 33 4 v 74 x Ft(t)p Fn(x)20 b Fu(+)g Fn(Q)3155 394 y Fp(1)p Fr(=)p Fp(2)3265 430 y Fn(z)t Fu(.)141 657 y(W)-8 b(e)27 b(\014nally)d(notice) j(that)f(the)h(ab)s(o)m(v)m(e)g(information-theoretic)e(in)m (terpretation)h(do)s(es)g(not)g(only)f(apply)g(to)i(the)0 770 y(\014nal)34 b(decomp)s(osition)h(\()p BrickRed 847 770 a SDict begin H.S end 847 770 a BrickRed Fu(1.1)p BrickRed 963 711 a SDict begin H.R end 963 711 a 963 770 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.1) cvn H.B /ANN pdfmark end 963 770 a 0 TeXcolorgray Fu(\),)j(but)c(to)j(the)f (whole)e(measure-v)-5 b(alued)35 b(sto)s(c)m(hastic)i(pro)s(cess)e (de\014ned)f(in)h([)p OliveGreen 3621 770 a SDict begin H.S end 3621 770 a OliveGreen Fu(Eld20)p OliveGreen 3849 707 a SDict begin H.R end 3849 707 a 3849 770 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2020taming) cvn H.B /ANN pdfmark end 3849 770 a 0 TeXcolorgray Fu(].)0 883 y(W)-8 b(e)32 b(explain)c(this)h(extension)i(in)e(Section)p BrickRed 1476 883 a SDict begin H.S end 1476 883 a BrickRed Fu(3)p BrickRed 1521 824 a SDict begin H.R end 1521 824 a 1521 883 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (section.3) cvn H.B /ANN pdfmark end 1521 883 a 0 TeXcolorgray Fu(.)0 1037 y SDict begin H.S end 0 1037 a 0 1037 a SDict begin 13.6 H.A end 0 1037 a 0 1037 a SDict begin [/View [/XYZ H.V]/Dest (section.2) cvn /DEST pdfmark end 0 1037 a 171 x Fv(2)135 b(Pro)t(of)0 1298 y SDict begin H.S end 0 1298 a 0 1298 a SDict begin 13.6 H.A end 0 1298 a 0 1298 a SDict begin [/View [/XYZ H.V]/Dest (subsection.2.1) cvn /DEST pdfmark end 0 1298 a 156 x Ff(2.1)112 b(Pro)s(of)37 b(of)h(Eq.)f FC(\()p BrickRed 931 1454 a SDict begin H.S end 931 1454 a BrickRed FC(1.4)p BrickRed 1056 1389 a SDict begin H.R end 1056 1389 a 1056 1454 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.4) cvn H.B /ANN pdfmark end 1056 1454 a 0 TeXcolorgray FC(\))0 1664 y Fu(W)-8 b(e)42 b(compare)g(the)f(error)g(of)g(the)h(maxim)m(um)e(lik)m(eliho)s(o)s(d)e (estimator)j(of)h Fn(x)f Fu(to)g(that)h(of)g(the)f(Ba)m(y)m(es)i (optimal)0 1777 y(estimator)31 b(of)f Fn(x)h Fu(giv)m(en)f Ft(\022)d Fu(=)e(\()p Fn(y)t Ft(;)15 b(\034)10 b Fu(\):)1107 1981 y Fq(b)1099 1982 y Fn(x)1159 1996 y Fp(ML)1297 1982 y Fu(=)25 b Ft(\034)1443 1944 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)1623 1982 y Fn(y)124 b Fu(and)2077 1981 y Fq(b)2069 1982 y Fn(x)2129 1996 y Fp(Ba)n(y)n(es)2336 1982 y Fu(=)25 b Fs(E)11 b Fu([)p Fn(x)6 b Fo(j)p Fn(y)s Ft(;)15 b(\034)10 b Fu(])p Ft(:)0 2186 y Fu(Let)38 b Fn(R)g Fo(2)e Fs(R)444 2153 y Fr(n)p Fk(\002)p Fr(n)632 2186 y Fu(b)s(e)h(a)h(\014xed)e(PSD)i (matrix,)g(and)f(de\014ne)g Fo(k)p Fn(v)s Fo(k)2220 2153 y Fp(2)2220 2213 y Fg(R)2323 2186 y Fu(=)g Fo(h)p Fn(v)s Ft(;)15 b Fn(R)q(v)s Fo(i)p Fu(.)62 b(Since)3070 2185 y Fq(b)3063 2186 y Fn(x)3123 2200 y Fp(Ba)n(y)n(es)3342 2186 y Fu(minimizes)35 b(the)0 2299 y(mean)30 b(squared)g(error)g Fs(E)11 b Fo(fk)q Fn(x)26 b Fo(\000)1132 2298 y Fq(b)1125 2299 y Fn(x)o Fu(\()p Ft(\022)s Fu(\))p Fo(k)1345 2266 y Fp(2)1345 2326 y Fg(R)1411 2299 y Fo(g)31 b Fu(among)g(all)e (measurable)h(estimators)2830 2298 y Fq(b)2822 2299 y Fn(x)p Fu(,)h(w)m(e)g(ha)m(v)m(e)602 2503 y Fs(E)11 b Fu(T)-8 b(r)757 2429 y Fq(\002)795 2503 y Fn(R)p Fu(\()p Fn(x)21 b Fo(\000)1088 2502 y Fq(b)1081 2503 y Fn(x)1141 2517 y Fp(Ba)n(y)n(es)1322 2503 y Fu(\)\()p Fn(x)g Fo(\000)1572 2502 y Fq(b)1564 2503 y Fn(x)1624 2517 y Fp(Ba)n(y)n(es)1806 2503 y Fu(\))1841 2465 y Fk(>)1900 2429 y Fq(\003)1964 2503 y Fo(\024)j Fs(E)11 b Fu(T)-8 b(r)2214 2429 y Fq(\002)2252 2503 y Fn(R)p Fu(\()p Fn(x)21 b Fo(\000)2545 2502 y Fq(b)2538 2503 y Fn(x)2598 2517 y Fp(ML)2710 2503 y Fu(\)\()p Fn(x)g Fo(\000)2960 2502 y Fq(b)2952 2503 y Fn(x)3012 2517 y Fp(ML)3125 2503 y Fu(\))3160 2465 y Fk(>)3219 2429 y Fq(\003)3272 2503 y Ft(:)3713 2503 y SDict begin H.S end 3713 2503 a 3713 2503 a SDict begin 16.6 H.A end 3713 2503 a 3713 2503 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.1) cvn /DEST pdfmark end 3713 2503 a Fu(\(2.1\))0 2707 y(The)30 b(left-hand)f(side)h(is)f(equal)h(to)h Fs(E)11 b Fu(T)-8 b(r)5 b(\()p Fn(R)q Fu(Co)m(v)r(\()p Ft(\026)1715 2722 y Fr(\022)1754 2707 y Fu(\)\),)32 b(and)d(the)i(righ) m(t-hand)e(side)g(is)h(equal)g(to)1076 2911 y Fs(E)1130 2838 y Fq(\002)1174 2911 y Ft(\034)1224 2874 y Fk(\000)p Fp(1)1319 2911 y Fo(h)p Fn(z)t(Q)1487 2874 y Fp(1)p Fr(=)p Fp(2)1597 2911 y Ft(;)15 b Fn(R)q(Q)1796 2874 y Fp(1)p Fr(=)p Fp(2)1906 2911 y Fn(z)t Fo(i)1995 2838 y Fq(\003)2059 2911 y Fu(=)25 b Fs(E)11 b Fu([)p Ft(\034)2285 2874 y Fk(\000)p Fp(1)2385 2911 y Fu(])21 b Fo(\001)f Fu(T)-8 b(r\()p Fn(R)q(Q)p Fu(\))p Ft(:)3713 2911 y SDict begin H.S end 3713 2911 a 3713 2911 a SDict begin 16.6 H.A end 3713 2911 a 3713 2911 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.2) cvn /DEST pdfmark end 3713 2911 a Fu(\(2.2\))0 3116 y(Since)29 b(the)i(inequalit)m(y)e(holds)g(for)h(all)f Fn(R)d Fo(\027)f Fu(0,)31 b(w)m(e)g(conclude)e(that)1370 3320 y Fs(E)d Fu(Co)m(v)8 b(\()p Ft(\026)1694 3335 y Fr(\022)1733 3320 y Fu(\))25 b Fo(\026)g Fs(E)11 b Fu([)p Ft(\034)2019 3282 y Fk(\000)p Fp(1)2120 3320 y Fu(])20 b Fo(\001)g Fn(Q)26 b Fo(\026)f Fn(Q)15 b Ft(:)3713 3320 y SDict begin H.S end 3713 3320 a 3713 3320 a SDict begin 16.6 H.A end 3713 3320 a 3713 3320 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.3) cvn /DEST pdfmark end 3713 3320 a Fu(\(2.3\))0 3481 y SDict begin H.S end 0 3481 a 0 3481 a SDict begin 13.6 H.A end 0 3481 a 0 3481 a SDict begin [/View [/XYZ H.V]/Dest (subsection.2.2) cvn /DEST pdfmark end 0 3481 a 121 x Ff(2.2)112 b(Pro)s(of)37 b(of)48 b FC(\()p BrickRed 740 3602 a SDict begin H.S end 740 3602 a BrickRed FC(1.5)p BrickRed 865 3538 a SDict begin H.R end 865 3538 a 865 3602 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.5) cvn H.B /ANN pdfmark end 865 3602 a 0 TeXcolorgray FC(\))0 3813 y Fu(This)e(claim)i(follo)m(ws)f (immediately)g(using)f(some)j(basic)f(inequalities)d(from)j (information)f(theory)h([)p OliveGreen 3652 3813 a SDict begin H.S end 3652 3813 a OliveGreen Fu(CT91)p OliveGreen 3875 3751 a SDict begin H.R end 3875 3751 a 3875 3813 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.CoverThomas) cvn H.B /ANN pdfmark end 3875 3813 a 0 TeXcolorgray Fu(,)p OliveGreen 0 3926 a SDict begin H.S end 0 3926 a OliveGreen Fu(DCT91)p OliveGreen 292 3864 a SDict begin H.R end 292 3864 a 292 3926 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.dembo1991information) cvn H.B /ANN pdfmark end 292 3926 a 0 TeXcolorgray Fu(].)141 4078 y(The)31 b(m)m(utual)f(information)f(of)i(t)m(w)m(o)h (random)e(v)-5 b(ariables)30 b Ft(X)r(;)15 b(Y)51 b Fu(is)30 b(I\()p Ft(X)7 b Fu(;)15 b Ft(Y)21 b Fu(\))27 b(:=)f(D\()p Ft(\026)3041 4092 y Fr(X)q(;Y)3181 4078 y Fo(k)p Ft(\026)3281 4092 y Fr(X)3369 4078 y Fo(\002)20 b Ft(\026)3515 4092 y Fr(Y)3576 4078 y Fu(\),)31 b(where)0 4191 y(w)m(e)g(denote)g(b)m(y)f Ft(\026)608 4205 y Fr(X)q(;Y)t(;:::)844 4191 y Fu(the)h(join)m(t)f(la)m (w)g(of)h Ft(X)r(;)15 b(Y)5 b(;)15 b(:)g(:)g(:)i Fu(.)41 b(If)30 b Ft(\026)2030 4205 y Fr(X)2097 4191 y Ft(;)15 b(\026)2192 4210 y Fr(X)5 b Fk(j)p Fr(Y)2335 4191 y Fu(\()15 b Fo(\001)g(j)p Ft(y)s Fu(\))27 b Fo(\034)e Ft(\027)2721 4205 y Fr(X)2789 4191 y Fu(,)30 b(w)m(e)h(ha)m(v)m(e)1043 4405 y(I\()p Ft(X)7 b Fu(;)15 b Ft(Y)21 b Fu(\))k(:=)g Fs(E)1543 4419 y Fr(y)1590 4405 y Fu(D\()p Ft(\026)1749 4423 y Fr(X)5 b Fk(j)p Fr(Y)1893 4405 y Fu(\()15 b Fo(\001)g(j)p Ft(y)s Fu(\))p Fo(k)p Ft(\027)2181 4419 y Fr(X)2251 4405 y Fu(\))20 b Fo(\000)g Fu(D\()p Ft(\026)2556 4419 y Fr(X)2624 4405 y Fo(k)p Ft(\027)2714 4419 y Fr(X)2782 4405 y Fu(\))15 b Ft(:)3713 4405 y SDict begin H.S end 3713 4405 a 3713 4405 a SDict begin 16.6 H.A end 3713 4405 a 3713 4405 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.4) cvn /DEST pdfmark end 3713 4405 a Fu(\(2.4\))0 4609 y(W)-8 b(e)33 b(consider)e Ft(X)k Fu(=)28 b Fn(x)p Fu(,)33 b Ft(Y)48 b Fu(=)27 b Fn(y)s Fu(,)33 b(under)d(their)h(join)m(t)h(distribution)c (giv)m(en)k Ft(\034)38 b Fu(=)28 b Ft(t)p Fu(.)45 b(In)32 b(other)g(w)m(ords)f Fn(x)d Fo(\030)g Ft(\026)k Fu(and)0 4722 y Fn(y)j Fu(is)c(giv)m(en)h(b)m(y)g(Eq.)h(\()p BrickRed 752 4722 a SDict begin H.S end 752 4722 a BrickRed Fu(1.2)p BrickRed 868 4663 a SDict begin H.R end 868 4663 a 868 4722 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.2) cvn H.B /ANN pdfmark end 868 4722 a 0 TeXcolorgray Fu(\))f(with)f Ft(\034)39 b Fu(=)27 b Ft(t)p Fu(.)46 b(W)-8 b(e)33 b(ha)m(v)m(e)h Ft(\026)1850 4737 y Fr(\022)1917 4722 y Fu(=)28 b Ft(\026)2071 4740 y Fr(X)5 b Fk(j)p Fr(Y)2214 4722 y Fu(\()15 b Fo(\001)g(j)p Fn(y)t Fu(\).)46 b(Using)32 b(non-negativit)m(y)g(of)g(the)h(m)m(utual)0 4835 y(information,)c(w)m(e)i(ha)m(v)m(e)1235 5039 y(0)25 b Fo(\024)g Fu(I\()p Fn(x)p Fu(;)15 b Fn(y)t Fu(\))25 b(=)g Fs(E)1838 5053 y Fg(y)1893 5039 y Fu(D\()p Ft(\026)2052 5054 y Fr(\022)2091 5039 y Fo(k)p Ft(\027)6 b Fu(\))21 b Fo(\000)f Fu(D\()p Ft(\026)p Fo(k)p Ft(\027)6 b Fu(\))15 b Ft(:)3713 5039 y SDict begin H.S end 3713 5039 a 3713 5039 a SDict begin 16.6 H.A end 3713 5039 a 3713 5039 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.5) cvn /DEST pdfmark end 3713 5039 a Fu(\(2.5\))p 0 TeXcolorgray 1927 5499 a(3)p 0 TeXcolorgray eop end end %%Page: 4 4 TeXDict begin HPSdict begin 4 3 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.4) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 91 a Fu(whic)m(h)29 b(yields)f(the)j(\014rst)e(inequalit)m(y)g(in)f (Eq.)j(\()p BrickRed 1587 91 a SDict begin H.S end 1587 91 a BrickRed Fu(1.5)p BrickRed 1703 33 a SDict begin H.R end 1703 33 a 1703 91 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.5) cvn H.B /ANN pdfmark end 1703 91 a 0 TeXcolorgray Fu(\).)41 b(In)m(v)m(erting)30 b(the)g(role)g(of)g Ft(X)r(;)15 b(Y)51 b Fu(in)29 b(the)i(de\014nition)c(of)k(m)m(utual)0 204 y(information,)e(and)h(letting)p 983 154 51 4 v 30 w Ft(\027)36 b Fu(b)s(e,)30 b(for)g(instance,)g(the)h(standard)e (Gaussian)h(measure)g(w)m(e)h(get)1149 406 y(I\()p Fn(x)p Fu(;)15 b Fn(y)t Fu(\))25 b(=)g Fs(E)1586 420 y Fg(x)1643 406 y Fu(D\()p Ft(\026)1802 425 y Fg(y)r Fk(j)p Fg(x)1917 406 y Fu(\()15 b Fo(\001)g(j)p Fn(x)q Fu(\))p Fo(k)p 2173 356 V Ft(\027)6 b Fu(\))21 b Fo(\000)f Fu(D\()p Ft(\026)2530 420 y Fg(y)2579 406 y Fo(k)p 2624 356 V Ft(\027)6 b Fu(\))15 b Ft(:)3713 406 y SDict begin H.S end 3713 406 a 3713 406 a SDict begin 16.6 H.A end 3713 406 a 3713 406 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.6) cvn /DEST pdfmark end 3713 406 a Fu(\(2.6\))0 608 y(Recall)30 b(the)h(de\014nition)d(of)j(di\013eren)m(tial)e(en)m(trop)m (y)j(of)f(a)g(random)e(v)-5 b(ariable)30 b Ft(X)38 b Fu(with)29 b(densit)m(y)h Ft(f)40 b Fu(with)30 b(resp)s(ect)g(to)0 721 y(the)c(Leb)s(esgue)g(measure:)39 b Ft(h)p Fu(\()p Ft(X)7 b Fu(\))27 b(:=)e Fo(\000)1367 648 y Fq(R)1443 721 y Ft(f)10 b Fu(\()p Ft(x)p Fu(\))15 b(log)h Ft(f)10 b Fu(\()p Ft(x)p Fu(\)d)p Ft(x)p Fu(,)27 b(and)f Ft(h)p Fu(\()p Ft(X)7 b Fo(j)p Ft(Y)21 b Fu(\))26 b(=)f Ft(h)p Fu(\()p Ft(X)r(;)15 b(Y)21 b Fu(\))12 b Fo(\000)g Ft(h)p Fu(\()p Ft(Y)21 b Fu(\).)39 b(W)-8 b(e)28 b(then)e(ha)m(v)m(e)0 834 y(from)k(the)g(last)h(displa)m(y)1461 1036 y(I\()p Fn(x)p Fu(;)15 b Fn(y)s Fu(\))26 b(=)f Ft(h)p Fu(\()p Fn(y)s Fu(\))c Fo(\000)f Ft(h)p Fu(\()p Fn(y)t Fo(j)p Fn(x)p Fu(\))15 b Ft(:)3713 1036 y SDict begin H.S end 3713 1036 a 3713 1036 a SDict begin 16.6 H.A end 3713 1036 a 3713 1036 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.7) cvn /DEST pdfmark end 3713 1036 a Fu(\(2.7\))0 1238 y(The)47 b(di\013eren)m(tial)f(en)m(trop)m(y)i(of)f(an)h Ft(n)p Fu(-dimensional)c(Gaussian)j(v)m(ector)h Fn(g)j Fu(with)46 b(co)m(v)-5 b(ariance)48 b Fi(\006)f Fu(is)g Ft(h)p Fu(\()p Fn(g)s Fu(\))54 b(=)0 1351 y(\()p Ft(n=)p Fu(2\))15 b(log)s(\(2)p Ft(\031)s(e)p Fu(\))22 b(+)d(\(1)p Ft(=)p Fu(2\)T)-8 b(r)17 b(log)g Fi(\006)o Fu(.)41 b(Therefore,)1278 1591 y Ft(h)p Fu(\()p Fn(y)t Fo(j)p Fn(x)p Fu(\))25 b(=)1674 1529 y Ft(n)p 1674 1570 55 4 v 1679 1653 a Fu(2)1754 1591 y(log)q(\(2)p Ft(\031)s(e)p Fu(\))d(+)2206 1529 y(1)p 2206 1570 46 4 v 2206 1653 a(2)2261 1591 y(T)-8 b(r)15 b(log)i Fn(Q)e Ft(:)0 1813 y Fu(Moreo)m(v)m(er,)38 b(the)e(Gaussian)e(distribution)d(maximizes)j(the)h(di\013eren)m(tial)e (en)m(trop)m(y)j(among)g(all)d(those)j(distribu-)0 1926 y(tions)30 b(with)f(the)h(same)h(co)m(v)-5 b(ariance,)32 b(hence)1194 2161 y Ft(h)p Fu(\()p Fn(y)t Fu(\))25 b Fo(\024)1505 2100 y Ft(n)p 1505 2140 55 4 v 1510 2224 a Fu(2)1585 2161 y(log)q(\(2)p Ft(\031)s(e)p Fu(\))d(+)2037 2100 y(1)p 2037 2140 46 4 v 2037 2224 a(2)2092 2161 y(T)-8 b(r)15 b(log)i(Co)m(v)r(\()p Ft(\026)2582 2175 y Fg(y)2630 2161 y Fu(\))e Ft(:)3713 2161 y SDict begin H.S end 3713 2161 a 3713 2161 a SDict begin 16.6 H.A end 3713 2161 a 3713 2161 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.8) cvn /DEST pdfmark end 3713 2161 a Fu(\(2.8\))0 2389 y(Since)29 b(Co)m(v)r(\()p Ft(\026)485 2403 y Fg(y)534 2389 y Fu(\))c(=)g Ft(t)p Fu(Co)m(v)r(\()p Ft(\026)p Fu(\))c(+)f Fn(Q)p Fu(,)30 b(w)m(e)h(obtain)1169 2633 y(I\()p Fn(x)p Fu(;)15 b Fn(y)t Fu(\))25 b Fo(\024)1561 2572 y Fu(1)p 1561 2612 46 4 v 1561 2695 a(2)1617 2633 y(T)-8 b(r)15 b(log)h(Co)m(v)r(\()p Ft(\026)2106 2647 y Fg(y)2155 2633 y Fu(\))k Fo(\000)2311 2572 y Fu(1)p 2311 2612 V 2311 2695 a(2)2367 2633 y(T)-8 b(r)14 b(log)j Fn(Q)3713 2633 y SDict begin H.S end 3713 2633 a 3713 2633 a SDict begin 16.6 H.A end 3713 2633 a 3713 2633 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.9) cvn /DEST pdfmark end 3713 2633 a Fu(\(2.9\))1455 2849 y(=)1561 2787 y(1)p 1561 2828 46 4 v 1561 2911 a(2)1632 2849 y(log)g(det)1906 2775 y Fq(\000)1948 2849 y Fn(I)2001 2863 y Fr(n)2068 2849 y Fu(+)j Ft(t)p Fn(Q)2271 2811 y Fk(\000)p Fp(1)2365 2849 y Fu(Co)m(v)r(\()p Ft(\026)p Fu(\))2648 2775 y Fq(\001)2705 2849 y Ft(:)3668 2849 y SDict begin H.S end 3668 2849 a 3668 2849 a SDict begin 16.6 H.A end 3668 2849 a 3668 2849 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.10) cvn /DEST pdfmark end 3668 2849 a Fu(\(2.10\))0 3071 y(The)30 b(claim)f(then)h(follo)m(ws)g(since)g Ft(t)25 b Fo(\024)g Fu(2.)0 3211 y SDict begin H.S end 0 3211 a 0 3211 a SDict begin 13.6 H.A end 0 3211 a 0 3211 a SDict begin [/View [/XYZ H.V]/Dest (subsection.2.3) cvn /DEST pdfmark end 0 3211 a 143 x Ff(2.3)112 b(Pro)s(of)37 b(of)48 b FC(\()p BrickRed 740 3354 a SDict begin H.S end 740 3354 a BrickRed FC(1.6)p BrickRed 865 3289 a SDict begin H.R end 865 3289 a 865 3354 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.6) cvn H.B /ANN pdfmark end 865 3354 a 0 TeXcolorgray FC(\))0 3564 y Fu(Fixing)23 b Ft(\034)35 b Fu(=)25 b Ft(t)f Fu(a)h(non-random)e(v)-5 b(alue,)26 b(w)m(e)e(write)g Fn(y)1747 3586 y Fr(t)1801 3564 y Fu(for)g(the)h(corresp)s(onding)d (output)i(of)g(c)m(hannel)g(\()p BrickRed 3412 3564 a SDict begin H.S end 3412 3564 a BrickRed Fu(1.2)p BrickRed 3529 3506 a SDict begin H.R end 3529 3506 a 3529 3564 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.2) cvn H.B /ANN pdfmark end 3529 3564 a 0 TeXcolorgray Fu(\),)i(namely)0 3677 y Fn(y)57 3699 y Fr(t)112 3677 y Fu(=)208 3604 y Fo(p)p 284 3604 33 4 v 73 x Ft(t)o Fn(x)10 b Fu(+)g Fn(Q)546 3641 y Fp(1)p Fr(=)p Fp(2)656 3677 y Fn(z)t Fu(.)39 b(W)-8 b(e)26 b(denote)g(b)m(y)f Ft(\026)1389 3691 y Fg(y)1433 3708 y Fe(t)1465 3677 y Fu(\(d)p Fn(x)p Fu(\))h(for)f(the)g (conditional)e(distribution)f(of)j Fn(x)g Fu(giv)m(en)g Fn(y)3384 3699 y Fr(t)3414 3677 y Fu(.)39 b(In)25 b(order)f(to)0 3790 y(emphasize)i(its)h(dep)s(endence)f(on)h Ft(t)p Fu(,)g(w)m(e)h(will)c(write)i Ft(\026)1830 3804 y Fg(x)1876 3813 y Fd(0)1911 3804 y Fr(;)p Fg(z)s Fr(;t)2047 3790 y Fu(:=)f Ft(\026)2223 3821 y Fg(y)2267 3838 y Fe(t)2295 3821 y Fp(=)2350 3767 y Fk(p)p 2409 3767 26 3 v 54 x Fr(t)q Fg(x)2481 3830 y Fd(0)2516 3821 y Fp(+)p Fg(Q)2632 3796 y Fd(1)p Fe(=)p Fd(2)2728 3821 y Fg(z)2775 3790 y Fu(.)39 b(Simplifying)23 b(Ba)m(y)m(es)28 b(form)m(ula,)0 3903 y(w)m(e)j(get)553 4138 y Ft(\026)608 4152 y Fg(x)654 4161 y Fd(0)689 4152 y Fr(;)p Fg(z)r Fr(;t)799 4138 y Fu(\(d)p Fn(x)p Fu(\))26 b(=)1216 4077 y(1)p 1112 4117 254 4 v 1112 4201 a Ft(Z)1174 4215 y Fg(x)1220 4223 y Fd(0)1255 4215 y Fr(;)p Fg(z)r Fr(;t)1406 4138 y Fu(exp)1560 4037 y Fq(n)1641 4138 y Fo(\000)1748 4077 y Ft(t)p 1742 4117 46 4 v 1742 4201 a Fu(2)1797 4138 y Fo(k)p Fn(x)21 b Fo(\000)f Fn(x)2073 4152 y Fp(0)2113 4138 y Fo(k)2158 4101 y Fp(2)2158 4172 y Fg(Q)2219 4147 y Fc(\000)p Fd(1)2326 4138 y Fu(+)2417 4060 y Fo(p)p 2493 4060 33 4 v 78 x Ft(t)p Fo(h)p Fn(z)5 b Ft(;)15 b Fn(Q)2735 4101 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)2900 4138 y Fn(x)p Fo(i)2995 4037 y Fq(o)3071 4138 y Ft(\026)p Fu(\(d)p Fn(x)o Fu(\))g Ft(:)3668 4138 y SDict begin H.S end 3668 4138 a 3668 4138 a SDict begin 16.6 H.A end 3668 4138 a 3668 4138 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.11) cvn /DEST pdfmark end 3668 4138 a Fu(\(2.11\))0 4400 y(Here)31 b(w)m(e)g(use)f(the)g(notation)h Fo(k)p Fn(v)s Fo(k)1171 4367 y Fp(2)1171 4427 y Fg(A)1262 4400 y Fu(:=)26 b Fo(h)p Fn(v)s Ft(;)15 b Fn(Av)s Fo(i)p Fu(.)141 4552 y(Throughout)23 b(this)f(pro)s(of,)i(giv)m(en)g(a)g(measure)f Ft(\027)6 b Fu(\(d)p Fn(x)p Fu(\))23 b(and)g(function)g Ft( )2548 4566 y Fp(1)2587 4552 y Fu(\()p Fn(x)p Fu(\))p Ft(;)15 b( )2816 4566 y Fp(2)2857 4552 y Fu(\()p Fn(x)p Fu(\),)26 b(w)m(e)d(use)h(the)f(shorthands)0 4665 y Ft(\027)6 b Fu(\()p Ft( )s Fu(\()p Fn(x)q Fu(\)\))37 b(:=)484 4592 y Fq(R)560 4665 y Ft( )s Fu(\()p Fn(x)q Fu(\))p Ft(\027)6 b Fu(\(d)p Fn(x)p Fu(\))37 b(and)g Ft(\027)6 b Fu(\()p Ft( )1351 4679 y Fp(1)1391 4665 y Fu(\()p Fn(x)p Fu(\);)15 b Ft( )1620 4679 y Fp(2)1660 4665 y Fu(\()p Fn(x)q Fu(\)\))37 b(:=)g Ft(\027)6 b Fu(\()p Ft( )2141 4679 y Fp(1)2181 4665 y Fu(\()p Fn(x)p Fu(\))25 b Fo(\001)h Ft( )2446 4679 y Fp(2)2485 4665 y Fu(\()p Fn(x)p Fu(\)\))g Fo(\000)f Ft(\027)6 b Fu(\()p Ft( )2917 4679 y Fp(1)2956 4665 y Fu(\()p Fn(x)q Fu(\)\))p Ft(\027)g Fu(\()p Ft( )3267 4679 y Fp(2)3307 4665 y Fu(\()p Fn(x)p Fu(\)\).)63 b(W)-8 b(e)38 b(then)0 4778 y(ha)m(v)m(e:)509 4938 y(d)p 509 4979 84 4 v 509 5062 a(d)p Ft(t)602 5000 y(\026)657 5014 y Fg(x)703 5023 y Fd(0)738 5014 y Fr(;)p Fg(z)s Fr(;t)849 5000 y Fu(\()p Fn(x)p Fu(\))26 b(=)f Fo(\000)1182 4938 y Fu(1)p 1182 4979 46 4 v 1182 5062 a(2)1237 5000 y Ft(\026)1292 5014 y Fg(x)1338 5023 y Fd(0)1373 5014 y Fr(;)p Fg(z)r Fr(;t)1483 4926 y Fq(\000)1525 5000 y Fn(x)p Fu(;)15 b Fo(k)p Fn(x)21 b Fo(\000)f Fn(x)1902 5014 y Fp(0)1941 5000 y Fo(k)1986 4962 y Fp(2)1986 5034 y Fg(Q)2048 5009 y Fc(\000)p Fd(1)2134 4926 y Fq(\001)2196 5000 y Fu(+)2351 4938 y(1)p 2297 4979 155 4 v 2297 5071 a(2)2342 4997 y Fo(p)p 2418 4997 33 4 v 74 x Ft(t)2461 5000 y(\026)2516 5014 y Fg(x)2562 5023 y Fd(0)2597 5014 y Fr(;)p Fg(z)s Fr(;t)2708 4926 y Fq(\000)2749 5000 y Fn(x)p Fu(;)15 b Fo(h)p Fn(z)5 b Ft(;)15 b Fn(Q)3059 4962 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)3224 5000 y Fn(x)p Fo(i)3319 4926 y Fq(\001)3376 5000 y Ft(:)3668 5000 y SDict begin H.S end 3668 5000 a 3668 5000 a SDict begin 16.6 H.A end 3668 5000 a 3668 5000 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.12) cvn /DEST pdfmark end 3668 5000 a Fu(\(2.12\))0 5250 y(\(Note)32 b(that)f Ft(\026)507 5264 y Fg(x)553 5273 y Fd(0)588 5264 y Fr(;)p Fg(z)r Fr(;t)699 5250 y Fu(\()p Fn(x)p Fu(\))g(is)e(the)i(mean)f(of)g(the)h(v)m(ector)h Fn(x)p Fu(.\))p 0 TeXcolorgray 1927 5499 a(4)p 0 TeXcolorgray eop end end %%Page: 5 5 TeXDict begin HPSdict begin 5 4 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.5) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 141 91 a Fu(Giv)m(en)30 b(a)h(matrix)f Fn(R)c Fo(\027)f Fu(0,)31 b(w)m(e)g(de\014ne)e(the)i(minim)m(um)c(mean)k(square)f(error) 794 294 y(mmse\()p Ft(t)p Fu(\))c(:=)f Fs(E)1327 194 y Fq(n)1393 217 y(\015)1393 272 y(\015)1444 294 y Fn(x)20 b Fo(\000)g Fs(E)10 b Fu(\()q Fn(x)c Fo(j)p Fn(y)1853 316 y Fr(t)1882 294 y Fu(\))1917 217 y Fq(\015)1917 272 y(\015)1968 243 y Fp(2)1968 330 y Fg(R)2034 194 y Fq(o)3668 294 y SDict begin H.S end 3668 294 a 3668 294 a SDict begin 16.6 H.A end 3668 294 a 3668 294 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.13) cvn /DEST pdfmark end 3668 294 a Fu(\(2.13\))1151 466 y(=)25 b(T)-8 b(r)1340 392 y Fq(\000)1382 466 y Fn(R)16 b Fu(Co)m(v)r(\()p Ft(\026)p Fu(\))1760 392 y Fq(\001)1822 466 y Fo(\000)k Fs(E)1968 480 y Fg(x)2020 489 y Fd(0)2055 480 y Fr(;)p Fg(z)2120 466 y Fo(h)p Ft(\026)2210 480 y Fg(x)2257 489 y Fd(0)2291 480 y Fr(;)p Fg(z)s Fr(;t)2402 466 y Fu(\()p Fn(x)p Fu(\))p Ft(;)15 b Fn(R)r Ft(\026)2708 480 y Fg(x)2754 489 y Fd(0)2789 480 y Fr(;)p Fg(z)r Fr(;t)2899 466 y Fu(\()p Fn(x)q Fu(\))p Fo(i)g Ft(:)3668 466 y SDict begin H.S end 3668 466 a 3668 466 a SDict begin 16.6 H.A end 3668 466 a 3668 466 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.14) cvn /DEST pdfmark end 3668 466 a Fu(\(2.14\))0 651 y(Di\013eren)m(tiating,)30 b(and)g(using)f(the)i(form)m(ula)e(ab)s(o)m(v)m(e)j(to)f(di\013eren)m (tiate)f Ft(\026)2464 665 y Fg(x)2510 674 y Fd(0)2545 665 y Fr(;)p Fg(z)r Fr(;t)2656 651 y Fu(\()p Fn(x)p Fu(\),)h(w)m(e)g (get)562 822 y(d)p 562 863 84 4 v 562 946 a(d)p Ft(t)656 883 y Fu(mmse\()p Ft(t)p Fu(\))25 b(=)g Fo(\000)p Fu(2)c Fo(\001)f Fs(E)1345 897 y Fg(x)1397 906 y Fd(0)1432 897 y Fr(;)p Fg(z)1497 883 y Fo(h)p Ft(\026)1587 897 y Fg(x)1634 906 y Fd(0)1669 897 y Fr(;)p Fg(z)r Fr(;t)1779 883 y Fu(\()p Fn(x)q Fu(\))p Ft(;)15 b Fn(R)2040 822 y Fu(d)p 2040 863 V 2040 946 a(d)p Ft(t)2133 883 y(\026)2188 897 y Fg(x)2235 906 y Fd(0)2269 897 y Fr(;)p Fg(z)s Fr(;t)2380 883 y Fu(\()p Fn(x)p Fu(\))p Fo(i)3668 883 y SDict begin H.S end 3668 883 a 3668 883 a SDict begin 16.6 H.A end 3668 883 a 3668 883 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.15) cvn /DEST pdfmark end 3668 883 a Fu(\(2.15\))1012 1058 y(=:)26 b Ft(A)20 b Fo(\000)g Ft(B)1382 1072 y Fp(1)1441 1058 y Fu(+)g Ft(B)1601 1072 y Fp(2)1656 1058 y Ft(;)3668 1058 y SDict begin H.S end 3668 1058 a 3668 1058 a SDict begin 16.6 H.A end 3668 1058 a 3668 1058 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.16) cvn /DEST pdfmark end 3668 1058 a Fu(\(2.16\))919 1205 y Ft(A)25 b Fu(:=)h Fs(E)1188 1219 y Fg(x)1241 1228 y Fd(0)1275 1219 y Fr(;)p Fg(z)1341 1132 y Fq(\010)1394 1205 y Fo(h)p Ft(\026)1484 1219 y Fg(x)1530 1228 y Fd(0)1565 1219 y Fr(;)p Fg(z)s Fr(;t)1676 1205 y Fu(\()p Fn(x)p Fu(\))p Ft(;)15 b Fn(R)r Ft(\026)1982 1219 y Fg(x)2028 1228 y Fd(0)2062 1219 y Fr(;)p Fg(z)s Fr(;t)2173 1205 y Fu(\()p Fn(x)p Fu(;)g Fo(k)p Fn(x)21 b Fo(\000)f Fn(x)2585 1219 y Fp(0)2625 1205 y Fo(k)2670 1168 y Fp(2)2670 1240 y Fg(Q)2731 1215 y Fc(\000)p Fd(1)2818 1205 y Fu(\))p Fo(i)2888 1132 y Fq(\011)2957 1205 y Ft(;)3668 1205 y SDict begin H.S end 3668 1205 a 3668 1205 a SDict begin 16.6 H.A end 3668 1205 a 3668 1205 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.17) cvn /DEST pdfmark end 3668 1205 a Fu(\(2.17\))879 1406 y Ft(B)948 1420 y Fp(1)1012 1406 y Fu(:=)1175 1344 y(1)p 1143 1385 109 4 v 1143 1403 a Fo(p)p 1219 1403 33 4 v 74 x Ft(t)1262 1406 y Fs(E)1317 1420 y Fg(x)1369 1429 y Fd(0)1404 1420 y Fr(;)p Fg(z)1469 1332 y Fq(\010)1522 1406 y Fo(h)p Ft(\026)1612 1420 y Fg(x)1659 1429 y Fd(0)1694 1420 y Fr(;)p Fg(z)r Fr(;t)1804 1406 y Fu(\()p Fn(x)q Fu(\))p Ft(;)15 b Fn(R)q Ft(\026)2110 1420 y Fg(x)2156 1429 y Fd(0)2191 1420 y Fr(;)p Fg(z)r Fr(;t)2302 1406 y Fu(\()p Fn(x)p Fo(h)p Fn(z)5 b Ft(;)15 b Fn(Q)2606 1368 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)2771 1406 y Fn(x)p Fo(i)p Fu(\))p Fo(i)2936 1332 y Fq(\011)3005 1406 y Ft(;)3668 1406 y SDict begin H.S end 3668 1406 a 3668 1406 a SDict begin 16.6 H.A end 3668 1406 a 3668 1406 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.18) cvn /DEST pdfmark end 3668 1406 a Fu(\(2.18\))879 1644 y Ft(B)948 1658 y Fp(2)1012 1644 y Fu(:=)1175 1582 y(1)p 1143 1623 109 4 v 1143 1641 a Fo(p)p 1219 1641 33 4 v 74 x Ft(t)1262 1644 y Fs(E)1317 1658 y Fg(x)1369 1667 y Fd(0)1404 1658 y Fr(;)p Fg(z)1469 1570 y Fq(\010)1522 1644 y Fo(h)p Ft(\026)1612 1658 y Fg(x)1659 1667 y Fd(0)1694 1658 y Fr(;)p Fg(z)r Fr(;t)1804 1644 y Fu(\()p Fn(x)q Fu(\))p Ft(;)g Fn(R)q Ft(\026)2110 1658 y Fg(x)2156 1667 y Fd(0)2191 1658 y Fr(;)p Fg(z)r Fr(;t)2302 1644 y Fu(\()p Fn(x)p Fu(\))p Fo(i)p Ft(\026)2522 1658 y Fg(x)2569 1667 y Fd(0)2603 1658 y Fr(;)p Fg(z)s Fr(;t)2714 1644 y Fu(\()p Fo(h)p Fn(z)5 b Ft(;)15 b Fn(Q)2959 1606 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)3123 1644 y Fn(x)p Fo(i)p Fu(\))3253 1570 y Fq(\011)3322 1644 y Ft(:)3668 1644 y SDict begin H.S end 3668 1644 a 3668 1644 a SDict begin 16.6 H.A end 3668 1644 a 3668 1644 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.19) cvn /DEST pdfmark end 3668 1644 a Fu(\(2.19\))0 1877 y(W)-8 b(e)29 b(next)e(use)g(in)m(tegration)g(b)m(y)h(parts)f (\(Stein's)f(Lemma\))i(to)g(simplify)c(the)k(terms)f Ft(B)2926 1891 y Fp(1)2965 1877 y Ft(;)15 b(B)3074 1891 y Fp(2)3114 1877 y Fu(.)40 b(It)27 b(is)g(useful)e(to)j(note)0 1990 y(that)1090 2130 y(1)p 1059 2170 109 4 v 1059 2188 a Fo(p)p 1135 2188 33 4 v 74 x Ft(t)1177 2191 y Fo(r)1253 2205 y Fg(z)1299 2191 y Ft(\026)1354 2205 y Fg(x)1400 2214 y Fd(0)1435 2205 y Fr(;)p Fg(z)s Fr(;t)1546 2118 y Fq(\000)1588 2191 y Ft( )s Fu(\()p Fn(x)p Fu(\))1780 2118 y Fq(\001)1848 2191 y Fu(=)d Ft(\026)1999 2205 y Fg(x)2045 2214 y Fd(0)2079 2205 y Fr(;)p Fg(z)s Fr(;t)2190 2118 y Fq(\000)2232 2191 y Ft( )s Fu(\()p Fn(x)p Fu(\);)15 b Fn(Q)2544 2154 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)2709 2191 y Fn(x)2769 2118 y Fq(\001)2826 2191 y Ft(:)3668 2191 y SDict begin H.S end 3668 2191 a 3668 2191 a SDict begin 16.6 H.A end 3668 2191 a 3668 2191 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.20) cvn /DEST pdfmark end 3668 2191 a Fu(\(2.20\))0 2420 y(W)-8 b(riting)30 b(for)g(simplicit)m (y)d Ft(\026)942 2434 y Fr(t)997 2420 y Fu(:=)e Ft(\026)1173 2434 y Fg(x)1219 2443 y Fd(0)1254 2434 y Fr(;)p Fg(z)s Fr(;t)1395 2420 y Fu(and)30 b Fs(E)42 b Fu(=)25 b Fs(E)1808 2434 y Fg(x)1861 2443 y Fd(0)1895 2434 y Fr(;)p Fg(z)1961 2420 y Fu(,)31 b(w)m(e)f(get)499 2605 y Ft(B)568 2619 y Fp(1)632 2605 y Fu(=)p Fs(E)758 2532 y Fq(\010)817 2605 y Ft(\026)872 2619 y Fr(t)901 2605 y Fu(\()p Fn(x)p Fu(\))1031 2568 y Fk(>)1091 2605 y Fn(R)p Ft(\026)1225 2619 y Fr(t)1255 2605 y Fu(\()p Fn(x)p Fo(k)p Fn(x)q Fo(k)1501 2568 y Fp(2)1501 2639 y Fg(Q)1562 2614 y Fc(\000)p Fd(1)1649 2605 y Fu(\))1684 2532 y Fq(\011)1757 2605 y Fo(\000)20 b Fs(E)1903 2532 y Fq(\010)1962 2605 y Ft(\026)2017 2619 y Fr(t)2046 2605 y Fu(\()p Fn(x)q Fu(\))2177 2568 y Fk(>)2236 2605 y Fn(R)q Ft(\026)2371 2619 y Fr(t)2400 2605 y Fu(\()p Fn(xx)2555 2568 y Fk(>)2614 2605 y Fu(\))p Fn(Q)2729 2568 y Fk(\000)p Fp(1)2823 2605 y Ft(\026)2878 2619 y Fr(t)2907 2605 y Fu(\()p Fn(x)q Fu(\))3038 2532 y Fq(\011)3668 2605 y SDict begin H.S end 3668 2605 a 3668 2605 a SDict begin 16.6 H.A end 3668 2605 a 3668 2605 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.21) cvn /DEST pdfmark end 3668 2605 a Fu(\(2.21\))723 2769 y(+)g Fs(E)11 b Fu(T)-8 b(r)968 2696 y Fq(\010)1022 2769 y Fn(Q)1100 2732 y Fk(\000)p Fp(1)1195 2696 y Fq(\002)1233 2769 y Ft(\026)1288 2783 y Fr(t)1317 2769 y Fu(\()p Fn(xx)1472 2732 y Fk(>)1531 2769 y Fu(\))21 b Fo(\000)f Ft(\026)1733 2783 y Fr(t)1762 2769 y Fu(\()p Fn(x)p Fu(\))p Ft(\026)1947 2783 y Fr(t)1977 2769 y Fu(\()p Fn(x)2072 2732 y Fk(>)2132 2769 y Fu(\))2167 2696 y Fq(\003)2205 2769 y Fn(R)p Ft(\026)2339 2783 y Fr(t)2369 2769 y Fu(\()p Fn(xx)2524 2732 y Fk(>)2583 2769 y Fu(\))2618 2696 y Fq(\011)2687 2769 y Ft(;)499 2920 y(B)568 2934 y Fp(2)632 2920 y Fu(=)p Fs(E)758 2846 y Fq(\010)817 2920 y Ft(\026)872 2934 y Fr(t)901 2920 y Fu(\()p Fn(x)p Fu(\))1031 2882 y Fk(>)1091 2920 y Fn(R)p Ft(\026)1225 2934 y Fr(t)1255 2920 y Fu(\()p Fn(x)p Fu(\))p Ft(\026)1440 2934 y Fr(t)1470 2920 y Fu(\()p Fo(k)p Fn(x)q Fo(k)1656 2882 y Fp(2)1656 2954 y Fg(Q)1717 2929 y Fc(\000)p Fd(1)1804 2920 y Fu(\))1839 2846 y Fq(\011)1913 2920 y Fo(\000)f Fs(E)2058 2846 y Fq(\010)2117 2920 y Ft(\026)2172 2934 y Fr(t)2201 2920 y Fu(\()p Fn(x)q Fu(\))2332 2882 y Fk(>)2391 2920 y Fn(R)q Ft(\026)2526 2934 y Fr(t)2555 2920 y Fu(\()p Fn(x)q Fu(\))p Ft(\026)2741 2934 y Fr(t)2770 2920 y Fu(\()p Fn(x)q Fu(\))2901 2882 y Fk(>)2960 2920 y Fn(Q)3039 2882 y Fk(\000)p Fp(1)3133 2920 y Ft(\026)3188 2934 y Fr(t)3218 2920 y Fu(\()p Fn(x)p Fu(\))3348 2846 y Fq(\011)3668 2920 y SDict begin H.S end 3668 2920 a 3668 2920 a SDict begin 16.6 H.A end 3668 2920 a 3668 2920 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.22) cvn /DEST pdfmark end 3668 2920 a Fu(\(2.22\))723 3084 y(+)h(2)p Fs(E)914 3010 y Fq(\010)973 3084 y Ft(\026)1028 3098 y Fr(t)1058 3084 y Fu(\()p Fn(x)p Fu(\))1188 3046 y Fb(T)1241 3084 y Fn(Q)1320 3046 y Fk(\000)p Fp(1)1414 3084 y Fu([)p Ft(\026)1494 3098 y Fr(t)1524 3084 y Fu(\()p Fn(xx)1679 3046 y Fk(>)1738 3084 y Fu(\))g Fo(\000)g Ft(\026)1939 3098 y Fr(t)1969 3084 y Fu(\()p Fn(x)p Fu(\))p Ft(\026)2154 3098 y Fr(t)2184 3084 y Fu(\()p Fn(x)p Fu(\))2314 3046 y Fk(>)2373 3084 y Fu(])p Fn(R)q Ft(\026)2533 3098 y Fr(t)2563 3084 y Fu(\()p Fn(x)p Fu(\))2693 3010 y Fq(\011)2762 3084 y Ft(:)0 3269 y Fu(Finally)-8 b(,)29 b(b)m(y)h(the)h(to)m(w)m(er)h (prop)s(ert)m(y)d(of)i(conditional)e(exp)s(ectation)139 3455 y Ft(A)c Fu(=)g Fs(E)383 3381 y Fq(\010)442 3455 y Ft(\026)497 3469 y Fr(t)526 3455 y Fu(\()p Fn(x)q Fu(\))657 3417 y Fk(>)716 3455 y Fn(R)q Ft(\026)851 3469 y Fr(t)880 3455 y Fu(\()p Fn(x)p Fu(;)15 b Fo(k)p Fn(x)q Fo(k)1166 3417 y Fp(2)1166 3489 y Fg(Q)1228 3464 y Fc(\000)p Fd(1)1315 3455 y Fu(\))p Fo(i)1385 3381 y Fq(\011)1458 3455 y Fo(\000)20 b Fu(2)p Fs(E)1649 3381 y Fq(\010)1708 3455 y Ft(\026)1763 3469 y Fr(t)1793 3455 y Fu(\()p Fn(x)p Fu(\))1923 3417 y Fk(>)1983 3455 y Fn(R)p Ft(\026)2117 3469 y Fr(t)2147 3455 y Fu(\()p Fn(x)p Fu(;)15 b Fn(x)2342 3417 y Fk(>)2401 3455 y Fu(\))p Fn(Q)2516 3417 y Fk(\000)p Fp(1)2610 3455 y Fn(x)2670 3469 y Fp(0)2709 3381 y Fq(\011)3668 3455 y SDict begin H.S end 3668 3455 a 3668 3455 a SDict begin 16.6 H.A end 3668 3455 a 3668 3455 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.23) cvn /DEST pdfmark end 3668 3455 a Fu(\(2.23\))232 3619 y(=)25 b Fs(E)383 3545 y Fq(\010)442 3619 y Ft(\026)497 3633 y Fr(t)526 3619 y Fu(\()p Fn(x)q Fu(\))657 3581 y Fk(>)716 3619 y Fn(R)q Ft(\026)851 3633 y Fr(t)880 3619 y Fu(\()p Fn(x)p Fu(;)15 b Fo(k)p Fn(x)q Fo(k)1166 3581 y Fp(2)1166 3653 y Fg(Q)1228 3628 y Fc(\000)p Fd(1)1315 3619 y Fu(\))p Fo(i)1385 3545 y Fq(\011)1458 3619 y Fo(\000)20 b Fu(2)p Fs(E)1649 3545 y Fq(\010)1708 3619 y Ft(\026)1763 3633 y Fr(t)1793 3619 y Fu(\()p Fn(x)p Fu(\))1923 3581 y Fk(>)1983 3619 y Fn(R)p Fu([)p Ft(\026)2142 3633 y Fr(t)2172 3619 y Fu(\()p Fn(xx)2327 3581 y Fk(>)2386 3619 y Fu(\))h Fo(\000)f Ft(\026)2588 3633 y Fr(t)2617 3619 y Fu(\()p Fn(x)p Fu(\))p Ft(\026)2802 3633 y Fr(t)2832 3619 y Fu(\()p Fn(x)p Fu(\))2962 3581 y Fk(>)3022 3619 y Fu(])p Fn(Q)3126 3581 y Fk(\000)p Fp(1)3220 3619 y Ft(\026)3275 3633 y Fr(t)3305 3619 y Fu(\()p Fn(x)p Fu(\))3435 3545 y Fq(\011)3503 3619 y Ft(:)3668 3619 y SDict begin H.S end 3668 3619 a 3668 3619 a SDict begin 16.6 H.A end 3668 3619 a 3668 3619 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.24) cvn /DEST pdfmark end 3668 3619 a Fu(\(2.24\))0 3815 y(W)-8 b(e)32 b(next)e(substitute)f(Eqs.)i(\()p BrickRed 1023 3815 a SDict begin H.S end 1023 3815 a BrickRed Fu(2.21)p BrickRed 1185 3757 a SDict begin H.R end 1185 3757 a 1185 3815 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.2.21) cvn H.B /ANN pdfmark end 1185 3815 a 0 TeXcolorgray Fu(\),)g(\()p BrickRed 1311 3815 a SDict begin H.S end 1311 3815 a BrickRed Fu(2.22)p BrickRed 1472 3757 a SDict begin H.R end 1472 3757 a 1472 3815 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.2.22) cvn H.B /ANN pdfmark end 1472 3815 a 0 TeXcolorgray Fu(\))q(,)f(and)g(\()p BrickRed 1775 3815 a SDict begin H.S end 1775 3815 a BrickRed Fu(2.24)p BrickRed 1937 3757 a SDict begin H.R end 1937 3757 a 1937 3815 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.2.24) cvn H.B /ANN pdfmark end 1937 3815 a 0 TeXcolorgray Fu(\))h(in)e(Eq.)h(\()p BrickRed 2309 3815 a SDict begin H.S end 2309 3815 a BrickRed Fu(2.16)p BrickRed 2471 3757 a SDict begin H.R end 2471 3757 a 2471 3815 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.2.16) cvn H.B /ANN pdfmark end 2471 3815 a 0 TeXcolorgray Fu(\))h(to)g(get)1057 3982 y(d)p 1057 4022 84 4 v 1057 4106 a(d)p Ft(t)1150 4043 y Fu(mmse\()p Ft(t)p Fu(\))26 b(=)f Fo(\000)p Fs(E)10 b Fu(T)-8 b(r)1828 3970 y Fq(\010)1881 4043 y Fu(Co)m(v)r(\()p Ft(\026)2129 4057 y Fr(t)2158 4043 y Fu(\))p Fn(Q)2273 4006 y Fk(\000)p Fp(1)2367 4043 y Fu(Co)m(v)r(\()p Ft(\026)2615 4057 y Fr(t)2645 4043 y Fu(\))p Fn(R)2760 3970 y Fq(\011)2828 4043 y Ft(:)3668 4043 y SDict begin H.S end 3668 4043 a 3668 4043 a SDict begin 16.6 H.A end 3668 4043 a 3668 4043 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.25) cvn /DEST pdfmark end 3668 4043 a Fu(\(2.25\))0 4255 y(W)g(e)32 b(next)e(in)m(tegrate)i (this)d(iden)m(tit)m(y)h(for)g Ft(t)25 b Fo(2)g Fu([1)p Ft(;)15 b Fu(2],)32 b(to)f(get)573 4375 y Fq(Z)664 4401 y Fp(2)624 4581 y(1)719 4499 y Fs(E)10 b Fu(T)-8 b(r)873 4425 y Fq(\010)926 4499 y Fu(Co)m(v)r(\()p Ft(\026)1174 4513 y Fr(t)1204 4499 y Fu(\))p Fn(Q)1318 4461 y Fk(\000)p Fp(1)1412 4499 y Fu(Co)m(v)r(\()p Ft(\026)1660 4513 y Fr(t)1690 4499 y Fu(\))p Fn(R)1805 4425 y Fq(\011)1858 4499 y Fu(d)p Ft(t)25 b Fu(=)g(mmse)o(\(1\))d Fo(\000)e Fu(mmse)o(\(2\))27 b Fo(\024)e Fu(mmse\(0\))1967 4693 y(=)g(T)-8 b(r)o(\(Co)m(v)r(\()p Ft(\026)p Fu(\))p Fn(R)r Fu(\))15 b Ft(:)0 4879 y Fu(Finally)-8 b(,)29 b(the)i(in)m(tegral)f(o)m (v)m(er)h Ft(t)f Fu(can)h(b)s(e)f(in)m(terpreted)g(as)g(an)g(exp)s (ectation)h(o)m(v)m(er)h Ft(\034)j Fo(\030)25 b Fj(Unif)7 b Fu(\([1)p Ft(;)15 b Fu(2]\),)33 b(whence)1026 5064 y Fs(E)11 b Fu(T)-8 b(r)1181 4991 y Fq(\010)1234 5064 y Fu(Co)m(v)r(\()p Ft(\026)1482 5079 y Fr(\022)1521 5064 y Fu(\))p Fn(Q)1635 5027 y Fk(\000)p Fp(1)1729 5064 y Fu(Co)m(v)r(\()p Ft(\026)1977 5079 y Fr(\022)2016 5064 y Fu(\))p Fn(R)2131 4991 y Fq(\011)2210 5064 y Fo(\024)25 b Fu(T)-8 b(r)o(\(Co)m(v)s(\()p Ft(\026)p Fu(\))p Fn(R)q Fu(\))15 b Ft(:)0 5250 y Fu(Since)29 b(this)h(holds)f(for)h(an)m(y)g Fn(R)c Fo(\027)f Fu(0,)31 b(w)m(e)g(pro)m(v)m(ed)g(Eq.)f(\()p BrickRed 1895 5250 a SDict begin H.S end 1895 5250 a BrickRed Fu(1.6)p BrickRed 2012 5191 a SDict begin H.R end 2012 5191 a 2012 5250 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.1.6) cvn H.B /ANN pdfmark end 2012 5250 a 0 TeXcolorgray Fu(\).)p 0 TeXcolorgray 1927 5499 a(5)p 0 TeXcolorgray eop end end %%Page: 6 6 TeXDict begin HPSdict begin 6 5 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.6) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 0 a SDict begin H.S end 0 0 a 0 0 a SDict begin 13.6 H.A end 0 0 a 0 0 a SDict begin [/View [/XYZ H.V]/Dest (section.3) cvn /DEST pdfmark end 0 0 a 91 x Fv(3)135 b(Extension)45 b(to)g(the)g(sto)t(c)l(hastic)g(lo)t(calization)e(pro)t(cess)0 333 y Fu(Another)33 b(w)m(a)m(y)i(of)e(writing)e(the)j(output)f(of)g (the)h(Gaussian)e(c)m(hannel)h(is)g(as)g(follo)m(ws:)46 b(Let)34 b Fn(x)c Fo(\030)g Ft(\026)j Fu(and)g(\()p Fn(B)3715 347 y Fr(t)3745 333 y Fu(\))3780 347 y Fr(t)p Fk(\025)p Fp(0)0 446 y Fu(b)s(e)d(a)g(standard)g(Bro)m(wnian)g(motion)g(in)f Fs(R)1463 413 y Fr(n)1516 446 y Fu(.)41 b(F)-8 b(urther,)30 b(let)1581 651 y SDict begin H.S end 1581 651 a 1581 651 a SDict begin 13.6 H.A end 1581 651 a 1581 651 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.1) cvn /DEST pdfmark end 1581 651 a 1586 650 a Fu(\026)1581 651 y Fn(y)1638 672 y Fr(t)1693 651 y Fu(=)25 b Ft(t)p Fn(x)19 b Fu(+)h Fn(Q)2071 613 y Fp(1)p Fr(=)p Fp(2)2181 651 y Fn(B)2264 665 y Fr(t)2294 651 y Ft(:)1394 b Fu(\(3.1\))0 855 y(Then)33 b(it)h(is)g(clear)h(that)860 854 y(\026)855 855 y Fn(y)912 877 y Fr(t)976 855 y Fu(has)f(the)h(same)f(la)m(w)h(as)f(the)h(v)m (ector)2256 781 y Fo(p)p 2332 781 33 4 v 74 x Ft(t)p Fn(y)s Fu(,)g(so)g(the)g(conditional)e(distribution)d(of)35 b Fn(x)0 968 y Fu(giv)m(en)30 b Fn(y)k Fu(has)c(the)g(same)h(la)m(w)f (as)h(the)f(probabilit)m(y)e(measure)977 1205 y SDict begin H.S end 977 1205 a 977 1205 a SDict begin 13.6 H.A end 977 1205 a 977 1205 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.2) cvn /DEST pdfmark end 977 1205 a Ft(\026)1032 1219 y Fr(t)1062 1205 y Fu(\(d)p Fn(x)o Fu(\))e(=)1397 1144 y(1)p 1374 1184 92 4 v 1374 1267 a Ft(Z)1436 1281 y Fr(t)1491 1205 y Fu(exp)1645 1104 y Fq(n)1705 1205 y Fo(h)1746 1204 y Fu(\026)1740 1205 y Fn(y)1798 1227 y Fr(t)1827 1205 y Ft(;)15 b Fn(x)q Fo(i)1963 1231 y Fg(Q)2024 1206 y Fc(\000)p Fd(1)2131 1205 y Fo(\000)2238 1144 y Ft(t)p 2232 1184 46 4 v 2232 1267 a Fu(2)2287 1205 y Fo(k)p Fn(x)q Fo(k)2438 1168 y Fp(2)2438 1239 y Fg(Q)2499 1214 y Fc(\000)p Fd(1)2586 1104 y Fq(o)2647 1205 y Ft(\026)p Fu(\(d)p Fn(x)o Fu(\))g Ft(:)791 b Fu(\(3.2\))141 1488 y(W)-8 b(e)33 b(will)c(sho)m(w)i(that)h(the)g(measure-v)-5 b(alued)31 b(pro)s(cess)g(\()p Ft(\026)2103 1502 y Fr(t)2133 1488 y Fu(\))2168 1502 y Fr(t)p Fk(\025)p Fp(0)2319 1488 y Fu(satis\014es)h(the)f(sto)s(c)m(hastic)i(lo)s(calization)d(SDE)0 1601 y(of)h(Eldan)d([)p OliveGreen 392 1601 a SDict begin H.S end 392 1601 a OliveGreen Fu(Eld20)p OliveGreen 621 1538 a SDict begin H.R end 621 1538 a 621 1601 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.eldan2020taming) cvn H.B /ANN pdfmark end 621 1601 a 0 TeXcolorgray Fu(],)j(as)g(stated)g(b)s(elo)m (w.)0 1789 y SDict begin H.S end 0 1789 a 0 1789 a SDict begin 13.6 H.A end 0 1789 a 0 1789 a SDict begin [/View [/XYZ H.V]/Dest (theorem.2) cvn /DEST pdfmark end 0 1789 a 0 TeXcolorgray Fi(Theorem)j(2.)p 0 TeXcolorgray 42 w Fh(Write)e Ft(L)890 1803 y Fr(t)952 1789 y Fh(for)i(the)f(likeliho)-5 b(o)g(d)35 b(r)-5 b(atio)34 b(pr)-5 b(o)g(c)g(ess)35 b(of)d Ft(\026)2330 1803 y Fr(t)2392 1789 y Fh(with)i(r)-5 b(esp)g(e)g(ct)34 b(to)f Ft(\026)p Fh(:)1603 2030 y SDict begin H.S end 1603 2030 a 1603 2030 a SDict begin 13.6 H.A end 1603 2030 a 1603 2030 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.3) cvn /DEST pdfmark end 1603 2030 a Ft(L)1665 2044 y Fr(t)1694 2030 y Fu(\()p Fn(x)q Fu(\))25 b(:=)1981 1969 y(d)p Ft(\026)2087 1983 y Fr(t)p 1981 2010 135 4 v 1996 2093 a Fu(d)p Ft(\026)2126 2030 y Fu(\()p Fn(x)p Fu(\))15 b Ft(:)1417 b Fu(\(3.3\))0 2278 y Fh(Then)37 b(ther)-5 b(e)38 b(exist)e(a)h(Br)-5 b(ownian)39 b(motion)f Fu(\()p Fn(W)1650 2292 y Fr(t)1680 2278 y Fu(\))1715 2292 y Fr(t)p Fk(\025)p Fp(0)1872 2278 y Fh(adapte)-5 b(d)39 b(to)e(the)g(\014ltr)-5 b(ation)39 b(gener)-5 b(ate)g(d)39 b(by)d Fu(\()3424 2277 y(\026)3418 2278 y Fn(y)3475 2300 y Fr(t)3505 2278 y Fu(\))3540 2292 y Fr(t)p Fk(\025)p Fp(0)3660 2278 y Fh(,)i(such)0 2391 y(that)c(for)f(al)5 b(l)33 b Fn(x)25 b Fo(2)g Fs(R)692 2358 y Fr(n)777 2391 y Fh(and)34 b Ft(t)25 b Fo(\025)g Fu(0)p Fh(,)33 b(we)g(have)798 2595 y SDict begin H.S end 798 2595 a 798 2595 a SDict begin 13.6 H.A end 798 2595 a 798 2595 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.4) cvn /DEST pdfmark end 798 2595 a Fu(d)p Ft(L)911 2609 y Fr(t)940 2595 y Fu(\()p Fn(x)p Fu(\))26 b(=)f Ft(L)1254 2609 y Fr(t)1283 2595 y Fu(\()p Fn(x)p Fu(\))1413 2522 y Fq(\012)1457 2595 y Fn(x)20 b Fo(\000)g Fn(a)1685 2609 y Fr(t)1715 2595 y Ft(;)15 b Fn(Q)1834 2558 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)1999 2595 y Fu(d)p Fn(W)2163 2609 y Fr(t)2193 2522 y Fq(\013)2251 2595 y Ft(;)146 b Fh(and)98 b Ft(L)2725 2609 y Fp(0)2765 2595 y Fu(\()p Fn(x)p Fu(\))25 b(=)g(1)15 b Ft(;)612 b Fu(\(3.4\))0 2800 y Fh(wher)-5 b(e)1372 2932 y SDict begin H.S end 1372 2932 a 1372 2932 a SDict begin 13.6 H.A end 1372 2932 a 1372 2932 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.5) cvn /DEST pdfmark end 1372 2932 a Fn(a)1430 2946 y Fr(t)1485 2932 y Fu(=)25 b Fs(E)1635 2858 y Fq(\010)1694 2932 y Fn(x)p Fo(j)1785 2931 y Fu(\026)1779 2932 y Fn(y)1837 2954 y Fr(t)1866 2858 y Fq(\011)1945 2932 y Fu(=)2041 2808 y Fq(Z)2147 2932 y Fn(x)15 b Ft(\026)2277 2946 y Fr(t)2306 2932 y Fu(\(d)p Fn(x)p Fu(\))g Ft(:)1186 b Fu(\(3.5\))p 0 TeXcolorgray 0 3200 a Fh(Pr)-5 b(o)g(of.)p 0 TeXcolorgray 47 w Fu(W)d(e)31 b(use)f(the)h(represen)m(tation)f(\()p BrickRed 1384 3200 a SDict begin H.S end 1384 3200 a BrickRed Fu(3.2)p BrickRed 1501 3142 a SDict begin H.R end 1501 3142 a 1501 3200 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.3.2) cvn H.B /ANN pdfmark end 1501 3200 a 0 TeXcolorgray Fu(\))h(to)g(write)951 3443 y(d)15 b(log)h Ft(L)1211 3457 y Fr(t)1241 3443 y Fu(\()p Fn(x)p Fu(\))26 b(=)f Fo(h)p Fu(d)1585 3442 y(\026)1579 3443 y Fn(y)1636 3465 y Fr(t)1665 3443 y Ft(;)15 b Fn(x)q Fo(i)1801 3469 y Fg(Q)1862 3444 y Fc(\000)p Fd(1)1969 3443 y Fo(\000)2070 3381 y Fu(1)p 2070 3422 46 4 v 2070 3505 a(2)2125 3443 y Fo(k)p Fn(x)q Fo(k)2276 3405 y Fp(2)2276 3477 y Fg(Q)2337 3452 y Fc(\000)p Fd(1)2424 3443 y Fu(d)p Ft(t)20 b Fo(\000)f Fu(d)c(log)i Ft(Z)2879 3457 y Fr(t)2924 3443 y Ft(:)3713 3443 y SDict begin H.S end 3713 3443 a 3713 3443 a SDict begin 16.6 H.A end 3713 3443 a 3713 3443 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.6) cvn /DEST pdfmark end 3713 3443 a Fu(\(3.6\))0 3673 y(Let)32 b(us)f(write)g Ft(h)568 3687 y Fr(t)598 3673 y Fu(\()p Fn(x)q Fu(\))h(for)f(the)h (expression)f(app)s(earing)f(in)g(the)i(exp)s(onen)m(t)g(in)f(Eq.)g(\() p BrickRed 2889 3673 a SDict begin H.S end 2889 3673 a BrickRed Fu(3.2)p BrickRed 3006 3614 a SDict begin H.R end 3006 3614 a 3006 3673 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.3.2) cvn H.B /ANN pdfmark end 3006 3673 a 0 TeXcolorgray Fu(\).)45 b(By)32 b(It^)-45 b(o's)32 b(form)m(ula)f(w)m(e)0 3786 y(ha)m(v)m(e)197 4009 y(d)p Ft(Z)310 4023 y Fr(t)364 4009 y Fu(=)460 3886 y Fq(Z)511 4092 y Fa(R)558 4073 y Fe(n)621 3908 y Fq(\020)675 4009 y Fo(h)p Fn(x)p Ft(;)15 b Fn(Q)890 3972 y Fk(\000)p Fp(1)984 4009 y Fu(d)1041 4008 y(\026)1035 4009 y Fn(y)1091 4031 y Fr(t)1121 4009 y Fo(i)21 b(\000)1277 3948 y Fu(1)p 1277 3988 46 4 v 1277 4072 a(2)1333 4009 y Fo(k)p Fn(x)p Fo(k)1483 3972 y Fp(2)1483 4043 y Fg(Q)1545 4018 y Fc(\000)p Fd(1)1632 4009 y Fu(d)p Ft(t)1716 3908 y Fq(\021)1769 4009 y Ft(e)1811 3972 y Fr(h)1852 3980 y Fe(t)1880 3972 y Fp(\()p Fg(x)q Fp(\))1986 4009 y Ft(\026)p Fu(\(d)p Fn(x)o Fu(\))g(+)2343 3948 y(1)p 2343 3988 V 2343 4072 a(2)2398 3908 y Fq(\020)2467 3886 y(Z)2518 4092 y Fa(R)2565 4073 y Fe(n)2628 4009 y Fo(k)p Fn(x)p Fo(k)2778 3972 y Fp(2)2778 4043 y Fg(Q)2840 4018 y Fc(\000)p Fd(1)2926 4009 y Ft(e)2968 3972 y Fr(h)3009 3980 y Fe(t)3037 3972 y Fp(\()p Fg(x)q Fp(\))3143 4009 y Ft(\026)p Fu(\(d)p Fn(x)o Fu(\))3378 3908 y Fq(\021)3433 4009 y Fu(d)p Ft(t)3713 4009 y SDict begin H.S end 3713 4009 a 3713 4009 a SDict begin 16.6 H.A end 3713 4009 a 3713 4009 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.7) cvn /DEST pdfmark end 3713 4009 a Fu(\(3.7\))364 4249 y(=)460 4148 y Fq(D)531 4125 y(Z)582 4331 y Fa(R)629 4312 y Fe(n)691 4249 y Fn(x)p Ft(e)793 4211 y Fr(h)834 4219 y Fe(t)862 4211 y Fp(\()p Fg(x)q Fp(\))968 4249 y Ft(\026)p Fu(\(d)p Fn(x)o Fu(\))p Ft(;)15 b Fn(Q)1323 4211 y Fk(\000)p Fp(1)1417 4249 y Fu(d)1474 4248 y(\026)1468 4249 y Fn(y)1525 4270 y Fr(t)1554 4148 y Fq(E)1625 4249 y Ft(:)3713 4249 y SDict begin H.S end 3713 4249 a 3713 4249 a SDict begin 16.6 H.A end 3713 4249 a 3713 4249 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.8) cvn /DEST pdfmark end 3713 4249 a Fu(\(3.8\))0 4508 y(With)20 b(the)h(notation)g Fn(a)784 4522 y Fr(t)839 4508 y Fu(=)k Fs(E)989 4434 y Fq(\010)1048 4508 y Fn(x)p Fo(j)1139 4507 y Fu(\026)1133 4508 y Fn(y)1190 4530 y Fr(t)1220 4434 y Fq(\011)1298 4508 y Fu(=)1394 4435 y Fq(R)1470 4508 y Fn(x)15 b Ft(\026)1600 4522 y Fr(t)1630 4508 y Fu(\(d)p Fn(x)o Fu(\))21 b(\(and)g(writing)e([)p Ft(Z)7 b Fu(])2457 4522 y Fr(t)2507 4508 y Fu(for)21 b(the)g(quadratic)f(v)-5 b(ariation)20 b(pro)s(cess\),)0 4621 y(w)m(e)31 b(obtain)1182 4850 y(d)15 b(log)h Ft(Z)1442 4864 y Fr(t)1497 4850 y Fu(=)1603 4789 y(d)p Ft(Z)1716 4803 y Fr(t)p 1603 4829 143 4 v 1628 4913 a Ft(Z)1690 4927 y Fr(t)1776 4850 y Fo(\000)1876 4789 y Fu(1)p 1876 4829 46 4 v 1876 4913 a(2)1942 4789 y(d[)p Ft(Z)7 b Fu(])2112 4803 y Fr(t)p 1942 4829 200 4 v 1987 4914 a Ft(Z)2056 4883 y Fp(2)2049 4938 y Fr(t)3713 4850 y SDict begin H.S end 3713 4850 a 3713 4850 a SDict begin 16.6 H.A end 3713 4850 a 3713 4850 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.9) cvn /DEST pdfmark end 3713 4850 a Fu(\(3.9\))1497 5092 y(=)1593 5018 y Fq(\012)1636 5092 y Fn(a)1694 5106 y Fr(t)1723 5092 y Ft(;)15 b Fu(d)1820 5091 y(\026)1814 5092 y Fn(y)1871 5114 y Fr(t)1901 5018 y Fq(\013)1944 5128 y Fg(Q)2005 5103 y Fc(\000)p Fd(1)2112 5092 y Fo(\000)2213 5030 y Fu(1)p 2213 5071 46 4 v 2213 5154 a(2)2268 5092 y Fo(k)p Fn(a)2371 5106 y Fr(t)2401 5092 y Fo(k)2446 5054 y Fp(2)2446 5126 y Fg(Q)2507 5101 y Fc(\000)p Fd(1)2594 5092 y Fu(d)p Ft(t)g(:)3668 5092 y SDict begin H.S end 3668 5092 a 3668 5092 a SDict begin 16.6 H.A end 3668 5092 a 3668 5092 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.10) cvn /DEST pdfmark end 3668 5092 a Fu(\(3.10\))p 0 TeXcolorgray 1927 5499 a(6)p 0 TeXcolorgray eop end end %%Page: 7 7 TeXDict begin HPSdict begin 7 6 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.7) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 91 a Fu(Substituting)28 b(this)h(in)g(Eq.)h(\()p BrickRed 1004 91 a SDict begin H.S end 1004 91 a BrickRed Fu(3.6)p BrickRed 1121 33 a SDict begin H.R end 1121 33 a 1121 91 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.3.6) cvn H.B /ANN pdfmark end 1121 91 a 0 TeXcolorgray Fu(\))h(w)m(e)f(ha)m(v)m (e)792 334 y(d)15 b(log)i Ft(L)1053 348 y Fr(t)1082 334 y Fu(\()p Fn(x)p Fu(\))26 b(=)1334 260 y Fq(\012)1377 334 y Fn(x)20 b Fo(\000)g Fn(a)1605 348 y Fr(t)1635 334 y Ft(;)15 b Fu(d)1732 333 y(\026)1726 334 y Fn(y)1783 356 y Fr(t)1813 260 y Fq(\013)1856 370 y Fg(Q)1917 345 y Fc(\000)p Fd(1)2024 334 y Fo(\000)2125 272 y Fu(1)p 2125 313 46 4 v 2125 396 a(2)2180 233 y Fq(\020)2234 334 y Fo(k)p Fn(x)q Fo(k)2385 296 y Fp(2)2385 368 y Fg(Q)2446 343 y Fc(\000)p Fd(1)2553 334 y Fo(\000)20 b(k)p Fn(a)2747 348 y Fr(t)2777 334 y Fo(k)2822 296 y Fp(2)2822 368 y Fg(Q)2883 343 y Fc(\000)p Fd(1)2970 233 y Fq(\021)3024 334 y Fu(d)p Ft(t)3668 334 y SDict begin H.S end 3668 334 a 3668 334 a SDict begin 16.6 H.A end 3668 334 a 3668 334 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.11) cvn /DEST pdfmark end 3668 334 a Fu(\(3.11\))1238 549 y(=)1334 476 y Fq(\012)1377 549 y Fn(x)g Fo(\000)g Fn(a)1605 563 y Fr(t)1635 549 y Ft(;)15 b Fu(d)1732 548 y(\026)1726 549 y Fn(y)1783 571 y Fr(t)1833 549 y Fo(\000)20 b Fn(a)1981 563 y Fr(t)2011 549 y Fu(d)p Ft(t)2095 476 y Fq(\013)2137 585 y Fg(Q)2198 560 y Fc(\000)p Fd(1)2305 549 y Fo(\000)2406 488 y Fu(1)p 2406 529 46 4 v 2406 612 a(2)2462 549 y Fo(k)p Fn(x)g Fo(\000)g Fn(a)2736 563 y Fr(t)2765 549 y Fo(k)2810 512 y Fp(2)2810 584 y Fg(Q)2872 559 y Fc(\000)p Fd(1)2959 549 y Fu(d)p Ft(t)15 b(:)3668 549 y SDict begin H.S end 3668 549 a 3668 549 a SDict begin 16.6 H.A end 3668 549 a 3668 549 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.12) cvn /DEST pdfmark end 3668 549 a Fu(\(3.12\))0 799 y(It)30 b(remains)f(to)h(understand)e(the)i(la)m(w)g(of)g(the)g (pro)s(cess)1923 798 y(\026)1917 799 y Fn(y)1974 821 y Fr(t)2023 799 y Fo(\000)2113 726 y Fq(R)2173 752 y Fr(t)2156 831 y Fp(0)2218 799 y Fn(a)2276 813 y Fr(s)2312 799 y Fu(d)p Ft(s)p Fu(.)40 b(W)-8 b(e)31 b(let)f Fo(F)2823 813 y Fr(t)2878 799 y Fu(=)25 b Ft(\033)s Fu(\()p Fo(f)3115 798 y Fu(\026)3109 799 y Fn(y)3167 821 y Fr(s)3229 799 y Fu(:)h(0)f Fo(\024)g Ft(s)g Fo(\024)g Ft(t)p Fo(g)p Fu(\))31 b(and)0 912 y Fs(F)36 b Fu(=)25 b(\()p Fo(F)277 926 y Fr(t)307 912 y Fu(\))342 926 y Fr(t)p Fk(\025)p Fp(0)462 912 y Fu(.)41 b(It)30 b(is)g(kno)m(wn)g(that)h(the)f(pro)s (cess)g(\()p Fn(W)1825 926 y Fr(t)1855 912 y Fu(\))1890 926 y Fr(t)p Fk(\025)p Fp(0)2040 912 y Fu(de\014ned)g(b)m(y)1218 1175 y SDict begin H.S end 1218 1175 a 1218 1175 a SDict begin 13.6 H.A end 1218 1175 a 1218 1175 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.13) cvn /DEST pdfmark end 1218 1175 a Fn(W)1332 1189 y Fr(t)1387 1175 y Fu(:=)25 b Fn(Q)1587 1137 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)1752 1074 y Fq(\020)1812 1174 y Fu(\026)1806 1175 y Fn(y)1863 1197 y Fr(t)1913 1175 y Fo(\000)2004 1051 y Fq(Z)2095 1077 y Fr(t)2055 1257 y Fp(0)2140 1175 y Fs(E)2195 1101 y Fq(\010)2254 1175 y Fn(x)o Fo(jF)2403 1189 y Fr(s)2441 1101 y Fq(\011)2494 1175 y Fu(d)p Ft(s)2588 1074 y Fq(\021)2656 1175 y Ft(;)987 b Fu(\(3.13\))0 1425 y(is)41 b(an)i Fs(F)t Fu(-)q(adapted)48 b(Bro)m(wnian)42 b(motion.)76 b(See)43 b(for)f(instance)g(Theorem)g(7.12)i(in)d([)p OliveGreen 2924 1425 a SDict begin H.S end 2924 1425 a OliveGreen Fu(LS77)p OliveGreen 3123 1363 a SDict begin H.R end 3123 1363 a 3123 1425 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.liptser1977statistics) cvn H.B /ANN pdfmark end 3123 1425 a 0 TeXcolorgray Fu(],)46 b(or)c(Theorem)g(5.13)0 1538 y(in)28 b([)p OliveGreen 130 1538 a SDict begin H.S end 130 1538 a OliveGreen Fu(LG16)p OliveGreen 349 1476 a SDict begin H.R end 349 1476 a 349 1538 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (cite.le2016brownian) cvn H.B /ANN pdfmark end 349 1538 a 0 TeXcolorgray Fu(].)41 b(W)-8 b(e)30 b(conclude)f(b)m(y)g(noticing)f(that)i Fs(E)1690 1464 y Fq(\010)1749 1538 y Fn(x)p Fo(jF)1899 1552 y Fr(t)1929 1464 y Fq(\011)2008 1538 y Fu(=)25 b Fn(a)2161 1552 y Fr(t)2220 1538 y Fu(since)2447 1537 y(\026)2441 1538 y Fn(y)2498 1560 y Fr(t)2557 1538 y Fu(is)j(a)i(su\016cien)m(t)e(statistic)i(for)e Fn(x)h Fu(under)0 1651 y Ft(\026)55 1665 y Fr(t)84 1651 y Fu(;)i(c.f.)g(Eq.)f (\()p BrickRed 489 1651 a SDict begin H.S end 489 1651 a BrickRed Fu(3.2)p BrickRed 606 1592 a SDict begin H.R end 606 1592 a 606 1651 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.3.2) cvn H.B /ANN pdfmark end 606 1651 a 0 TeXcolorgray Fu(\),)h(therefore)869 1893 y SDict begin H.S end 869 1893 a 869 1893 a SDict begin 13.6 H.A end 869 1893 a 869 1893 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.14) cvn /DEST pdfmark end 869 1893 a Fu(d)15 b(log)i Ft(L)1130 1907 y Fr(t)1159 1893 y Fu(\()p Fn(x)p Fu(\))26 b(=)1411 1820 y Fq(\012)1454 1893 y Fn(x)20 b Fo(\000)g Fn(a)1683 1907 y Fr(t)1712 1893 y Ft(;)15 b Fn(Q)1832 1856 y Fk(\000)p Fp(1)p Fr(=)p Fp(2)1996 1893 y Fu(d)p Fn(W)2161 1907 y Fr(t)2190 1820 y Fq(\013)2254 1893 y Fo(\000)2354 1832 y Fu(1)p 2354 1872 46 4 v 2354 1956 a(2)2410 1893 y Fo(k)p Fn(x)20 b Fo(\000)g Fn(a)2684 1907 y Fr(t)2713 1893 y Fo(k)2758 1856 y Fp(2)2758 1928 y Fg(Q)2820 1902 y Fc(\000)p Fd(1)2907 1893 y Fu(d)p Ft(t)15 b(;)637 b Fu(\(3.14\))0 2124 y(and)30 b(w)m(e)h(obtain)e(\()p BrickRed 628 2124 a SDict begin H.S end 628 2124 a BrickRed Fu(3.4)p BrickRed 745 2065 a SDict begin H.R end 745 2065 a 745 2124 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (equation.3.4) cvn H.B /ANN pdfmark end 745 2124 a 0 TeXcolorgray Fu(\))i(b)m(y)f(applying)e(It^)-45 b(o's)31 b(form)m(ula)f(once)h (more.)p 3834 2124 4 62 v 3838 2065 55 4 v 3838 2124 V 3892 2124 4 62 v 0 2449 a SDict begin H.S end 0 2449 a 0 2449 a SDict begin 18 H.A end 0 2449 a 0 2449 a SDict begin [/View [/XYZ H.V]/Dest (section*.1) cvn /DEST pdfmark end 0 2449 a Fv(Ac)l(kno)l(wledgemen)l(ts)0 2691 y Fu(W)-8 b(e)33 b(thank)e(Ronen)g(Eldan)f(for)h(a)h(stim)m(ulating)e (discussion.)42 b(This)29 b(w)m(ork)j(w)m(as)g(carried)e(out)i(while)e (the)h(authors)0 2804 y(w)m(ere)26 b(\(virtually\))f(participating)f (in)h(the)h(F)-8 b(all)25 b(2020)j(program)e(on)g(Probabilit)m(y)-8 b(,)25 b(Geometry)i(and)f(Computation)0 2917 y(in)40 b(High)g(Dimensions)f(at)j(the)f(Simons)e(Institute)h(for)h(the)g (Theory)f(of)h(Computing.)71 b(A.M.)42 b(w)m(as)f(partially)0 3030 y(supp)s(orted)29 b(b)m(y)h(the)g(NSF)h(gran)m(t)g(CCF-2006489)i (and)d(the)h(ONR)f(gran)m(t)h(N00014-18-1-2729.)p 0 TeXcolorgray 1927 5499 a(7)p 0 TeXcolorgray eop end end %%Page: 8 8 TeXDict begin HPSdict begin 8 7 bop 0 TeXcolorgray 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 0 TeXcolorgray -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.8) cvn /DEST pdfmark end -8 -8 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 91 a SDict begin H.S end 0 91 a 0 91 a SDict begin 18 H.A end 0 91 a 0 91 a SDict begin [/View [/XYZ H.V]/Dest (section*.2) cvn /DEST pdfmark end 0 91 a Fv(References)p 0 TeXcolorgray 0 326 a SDict begin H.S end 0 326 a Fu([A)m(COGM20])496 326 y SDict begin 13.6 H.A end 496 326 a 496 326 a SDict begin [/View [/XYZ H.V]/Dest (cite.ayre2020satisfiability) cvn /DEST pdfmark end 496 326 a 0 TeXcolorgray 48 w Fu(P)m(eter)21 b(Ayre,)i(Amin)d(Co)5 b(ja-Oghlan,)22 b(Pu)f(Gao,)j(and)c(No)m(\177)-43 b(ela)22 b(M)s(\177)-48 b(uller,)22 b Fh(The)i(satis\014ability)h(thr) -5 b(eshold)544 439 y(for)33 b(r)-5 b(andom)35 b(line)-5 b(ar)34 b(e)-5 b(quations)p Fu(,)31 b(Com)m(binatorica)f Fi(40)h Fu(\(2020\),)i(no.)d(2,)i(179{235.)p BrickRed 3392 439 a SDict begin H.S end 3392 439 a BrickRed Fu(1)p BrickRed 3438 381 a SDict begin H.R end 3438 381 a 3438 439 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 3438 439 a 0 TeXcolorgray 0 TeXcolorgray 0 617 a SDict begin H.S end 0 617 a Fu([Aus19])295 617 y SDict begin 13.6 H.A end 295 617 a 295 617 a SDict begin [/View [/XYZ H.V]/Dest (cite.austin2019structure) cvn /DEST pdfmark end 295 617 a 0 TeXcolorgray 249 w Fu(Tim)g(Austin,)h Fh(The)j(structur) -5 b(e)36 b(of)g(low-c)-5 b(omplexity)38 b(gibbs)d(me)-5 b(asur)g(es)37 b(on)f(pr)-5 b(o)g(duct)38 b(sp)-5 b(ac)g(es)p Fu(,)36 b(The)544 730 y(Annals)29 b(of)h(Probabilit)m(y)g Fi(47)h Fu(\(2019\),)i(no.)d(6,)h(4002{4023.)p BrickRed 2601 730 a SDict begin H.S end 2601 730 a BrickRed Fu(1)p BrickRed 2646 671 a SDict begin H.R end 2646 671 a 2646 730 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 2646 730 a 0 TeXcolorgray 0 TeXcolorgray 0 907 a SDict begin H.S end 0 907 a Fu([CD16])275 907 y SDict begin 13.6 H.A end 275 907 a 275 907 a SDict begin [/View [/XYZ H.V]/Dest (cite.chatterjee2016nonlinear) cvn /DEST pdfmark end 275 907 a 0 TeXcolorgray 269 w Fu(Soura)m(v)g(Chatterjee)g(and)g (Amir)f(Dem)m(b)s(o,)i Fh(Nonline)-5 b(ar)34 b(lar)-5 b(ge)34 b(deviations)p Fu(,)f(Adv)-5 b(ances)31 b(in)f(Math-)544 1020 y(ematics)g Fi(299)h Fu(\(2016\),)j(396{450.)p BrickRed 1751 1020 a SDict begin H.S end 1751 1020 a BrickRed Fu(1)p BrickRed 1797 961 a SDict begin H.R end 1797 961 a 1797 1020 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 1797 1020 a 0 TeXcolorgray 0 TeXcolorgray 0 1197 a SDict begin H.S end 0 1197 a Fu([COKPZ18])466 1197 y SDict begin 13.6 H.A end 466 1197 a 466 1197 a SDict begin [/View [/XYZ H.V]/Dest (cite.coja2018information) cvn /DEST pdfmark end 466 1197 a 0 TeXcolorgray 78 w Fu(Amin)72 b(Co)5 b(ja-Oghlan,)85 b(Floren)m(t)74 b(Krzak)-5 b(ala,)85 b(Will)72 b(P)m(erkins,)84 b(and)74 b(Lenk)-5 b(a)74 b(Zdeb)s(oro)m(v\023)-45 b(a,)544 1310 y Fh(Information-the)-5 b(or)g(etic)44 b(thr)-5 b(esholds)44 b(fr)-5 b(om)43 b(the)e(c)-5 b(avity)42 b(metho)-5 b(d)p Fu(,)44 b(Adv)-5 b(ances)40 b(in)e(Mathematics)544 1423 y Fi(333)31 b Fu(\(2018\),)i(694{795.)p BrickRed 1423 1423 a SDict begin H.S end 1423 1423 a BrickRed Fu(1)p BrickRed 1468 1365 a SDict begin H.R end 1468 1365 a 1468 1423 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 1468 1423 a 0 TeXcolorgray 0 TeXcolorgray 0 1601 a SDict begin H.S end 0 1601 a Fu([COP19])339 1601 y SDict begin 13.6 H.A end 339 1601 a 339 1601 a SDict begin [/View [/XYZ H.V]/Dest (cite.coja2019bethe) cvn /DEST pdfmark end 339 1601 a 0 TeXcolorgray 205 w Fu(Amin)27 b(Co)5 b(ja-Oghlan)27 b(and)h(Will)f(P)m(erkins,)g Fh(Bethe)k(states)h(of)f(r)-5 b(andom)33 b(factor)f(gr)-5 b(aphs)p Fu(,)31 b(Comm)m(u-)544 1714 y(nications)e(in)g(Mathematical)i(Ph)m(ysics)f Fi(366)h Fu(\(2019\),)i(no.)d(1,)h(173{201.)p BrickRed 3069 1714 a SDict begin H.S end 3069 1714 a BrickRed Fu(1)p BrickRed 3115 1655 a SDict begin H.R end 3115 1655 a 3115 1714 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 3115 1714 a 0 TeXcolorgray 0 TeXcolorgray 0 1891 a SDict begin H.S end 0 1891 a Fu([CT91])272 1891 y SDict begin 13.6 H.A end 272 1891 a 272 1891 a SDict begin [/View [/XYZ H.V]/Dest (cite.CoverThomas) cvn /DEST pdfmark end 272 1891 a 0 TeXcolorgray 272 w Fu(Thomas.)22 b(M.)h(Co)m(v)m(er)g(and)f(Jo)m(y)h(A.)g(Thomas,)h Fh(Elements)h(of)h (Information)h(The)-5 b(ory)p Fu(,)26 b(Wiley)-8 b(,)24 b(1991.)p BrickRed 544 2004 a SDict begin H.S end 544 2004 a BrickRed Fu(3)p BrickRed 589 1945 a SDict begin H.R end 589 1945 a 589 2004 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.3) cvn H.B /ANN pdfmark end 589 2004 a 0 TeXcolorgray 0 TeXcolorgray 0 2181 a SDict begin H.S end 0 2181 a Fu([DCT91])341 2181 y SDict begin 13.6 H.A end 341 2181 a 341 2181 a SDict begin [/View [/XYZ H.V]/Dest (cite.dembo1991information) cvn /DEST pdfmark end 341 2181 a 0 TeXcolorgray 203 w Fu(Amir)29 b(Dem)m(b)s(o,)j(Thomas)e(M)h(Co)m(v)m(er,)i(and)d(Jo) m(y)h(A)g(Thomas,)g Fh(Information)k(the)-5 b(or)g(etic)35 b(ine)-5 b(quali-)544 2294 y(ties)p Fu(,)30 b(IEEE)g(T)-8 b(ransactions)30 b(on)g(Information)g(theory)h Fi(37)g Fu(\(1991\),)i(no.)e(6,)g(1501{1518.)p BrickRed 3603 2294 a SDict begin H.S end 3603 2294 a BrickRed Fu(3)p BrickRed 3648 2236 a SDict begin H.R end 3648 2236 a 3648 2294 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.3) cvn H.B /ANN pdfmark end 3648 2294 a 0 TeXcolorgray 0 TeXcolorgray 0 2472 a SDict begin H.S end 0 2472 a Fu([EKZ21])329 2472 y SDict begin 13.6 H.A end 329 2472 a 329 2472 a SDict begin [/View [/XYZ H.V]/Dest (cite.eldan2021spectral) cvn /DEST pdfmark end 329 2472 a 0 TeXcolorgray 215 w Fu(Ronen)i(Eldan,)h(F)-8 b(rederic)34 b(Ko)s(ehler,)g(and)g(Ofer)f (Zeitouni,)h Fh(A)i(sp)-5 b(e)g(ctr)g(al)38 b(c)-5 b(ondition)38 b(for)e(sp)-5 b(e)g(ctr)g(al)544 2584 y(gap:)53 b(fast)39 b(mixing)f(in)g(high-temp)-5 b(er)g(atur)g(e)41 b(ising)d(mo)-5 b(dels)p Fu(,)40 b(Probabilit)m(y)34 b(Theory)i(and)g(Related)544 2697 y(Fields)28 b(\(2021\),)34 b(1{17.)p BrickRed 1366 2697 a SDict begin H.S end 1366 2697 a BrickRed Fu(1)p BrickRed 1411 2639 a SDict begin H.R end 1411 2639 a 1411 2697 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 1411 2697 a 0 TeXcolorgray 0 TeXcolorgray 0 2875 a SDict begin H.S end 0 2875 a Fu([Eld16])279 2875 y SDict begin 13.6 H.A end 279 2875 a 279 2875 a SDict begin [/View [/XYZ H.V]/Dest (cite.eldan2016skorokhod) cvn /DEST pdfmark end 279 2875 a 0 TeXcolorgray 265 w Fu(Ronen)42 b(Eldan,)i Fh(Skor)-5 b(okho)g(d)47 b(emb)-5 b(e)g(ddings)45 b(via)e(sto)-5 b(chastic)46 b(\015ows)f(on)f(the)g(sp) -5 b(ac)g(e)45 b(of)f(gaussian)544 2988 y(me)-5 b(asur)g(es)p Fu(,)35 b(Annales)d(de)h(l'Institut)e(Henri)h(P)m(oincar)m(\023)-43 b(e,)35 b(Probabilit)m(\023)-43 b(es)31 b(et)j(Statistiques,)f(v)m(ol.) g(52,)544 3101 y(Institut)c(Henri)g(P)m(oincar)m(\023)-43 b(e,)32 b(2016,)g(pp.)e(1259{1280.)p BrickRed 2392 3101 a SDict begin H.S end 2392 3101 a BrickRed Fu(1)p BrickRed 2437 3042 a SDict begin H.R end 2437 3042 a 2437 3101 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 2437 3101 a 0 TeXcolorgray 0 TeXcolorgray 0 3278 a SDict begin H.S end 0 3278 a Fu([Eld18])279 3278 y SDict begin 13.6 H.A end 279 3278 a 279 3278 a SDict begin [/View [/XYZ H.V]/Dest (cite.eldan2018gaussian) cvn /DEST pdfmark end 279 3278 a 0 TeXcolorgray 544 3278 273 4 v 552 w Fu(,)c Fh(Gaussian-width)k(gr)-5 b(adient)28 b(c)-5 b(omplexity,)30 b(r)-5 b(everse)28 b(lo)-5 b(g-sob)g(olev)28 b(ine)-5 b(qualities)28 b(and)g(non-)544 3391 y(line)-5 b(ar)39 b(lar)-5 b(ge)39 b(deviations)p Fu(,)h(Geometric)d(and)f(F)-8 b(unctional)36 b(Analysis)f Fi(28)i Fu(\(2018\),)k(no.)c(6,)i(1548{)544 3504 y(1596.)p BrickRed 791 3504 a SDict begin H.S end 791 3504 a BrickRed Fu(1)p BrickRed 836 3445 a SDict begin H.R end 836 3445 a 836 3504 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 836 3504 a 0 TeXcolorgray 0 TeXcolorgray 0 3681 a SDict begin H.S end 0 3681 a Fu([Eld20])279 3681 y SDict begin 13.6 H.A end 279 3681 a 279 3681 a SDict begin [/View [/XYZ H.V]/Dest (cite.eldan2020taming) cvn /DEST pdfmark end 279 3681 a 0 TeXcolorgray 544 3681 273 4 v 552 w Fu(,)h Fh(T)-7 b(aming)41 b(c)-5 b(orr)g(elations)42 b(thr)-5 b(ough)41 b(entr)-5 b(opy-e\016cient)41 b(me)-5 b(asur)g(e)41 b(de)-5 b(c)g(omp)g(ositions)43 b(with)544 3794 y(applic)-5 b(ations)31 b(to)e(me)-5 b(an-\014eld)30 b(appr)-5 b(oximation)p Fu(,)31 b(Probabilit)m(y)24 b(Theory)h(and)h(Related)g(Fields)e Fi(176)544 3907 y Fu(\(2020\),)33 b(no.)d(3,)h(737{755.)p BrickRed 1488 3907 a SDict begin H.S end 1488 3907 a BrickRed Fu(1)p BrickRed 1533 3848 a SDict begin H.R end 1533 3848 a 1533 3907 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 1533 3907 a 0 TeXcolorgray Fu(,)p BrickRed 1589 3907 a SDict begin H.S end 1589 3907 a BrickRed Fu(2)p BrickRed 1634 3848 a SDict begin H.R end 1634 3848 a 1634 3907 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.2) cvn H.B /ANN pdfmark end 1634 3907 a 0 TeXcolorgray Fu(,)p BrickRed 1690 3907 a SDict begin H.S end 1690 3907 a BrickRed Fu(3)p BrickRed 1735 3848 a SDict begin H.R end 1735 3848 a 1735 3907 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.3) cvn H.B /ANN pdfmark end 1735 3907 a 0 TeXcolorgray Fu(,)p BrickRed 1791 3907 a SDict begin H.S end 1791 3907 a BrickRed Fu(6)p BrickRed 1836 3848 a SDict begin H.R end 1836 3848 a 1836 3907 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.6) cvn H.B /ANN pdfmark end 1836 3907 a 0 TeXcolorgray 0 TeXcolorgray 0 4084 a SDict begin H.S end 0 4084 a Fu([LG16])268 4084 y SDict begin 13.6 H.A end 268 4084 a 268 4084 a SDict begin [/View [/XYZ H.V]/Dest (cite.le2016brownian) cvn /DEST pdfmark end 268 4084 a 0 TeXcolorgray 276 w Fu(Jean-F)-8 b(ran\030)-40 b(cois)59 b(Le)h(Gall,)66 b Fh(Br)-5 b(ownian)61 b(motion,)67 b(martingales,)h(and)60 b(sto)-5 b(chastic)61 b(c)-5 b(alculus)p Fu(,)544 4197 y(Springer,)28 b(2016.)p BrickRed 1180 4197 a SDict begin H.S end 1180 4197 a BrickRed Fu(7)p BrickRed 1226 4139 a SDict begin H.R end 1226 4139 a 1226 4197 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.7) cvn H.B /ANN pdfmark end 1226 4197 a 0 TeXcolorgray 0 TeXcolorgray 0 4375 a SDict begin H.S end 0 4375 a Fu([LS77])248 4375 y SDict begin 13.6 H.A end 248 4375 a 248 4375 a SDict begin [/View [/XYZ H.V]/Dest (cite.liptser1977statistics) cvn /DEST pdfmark end 248 4375 a 0 TeXcolorgray 296 w Fu(Rob)s(ert)42 b(Shevilevic)m(h)f (Liptser)h(and)g(Al'b)s(ert)g(Nik)m(olaevic)m(h)h(Shiriaev,)i Fh(Statistics)g(of)f(r)-5 b(andom)544 4488 y(pr)g(o)g(c)g(esses:)44 b(Gener)-5 b(al)34 b(the)-5 b(ory)p Fu(,)32 b(v)m(ol.)f(394,)g (Springer,)e(1977.)p BrickRed 2607 4488 a SDict begin H.S end 2607 4488 a BrickRed Fu(7)p BrickRed 2653 4429 a SDict begin H.R end 2653 4429 a 2653 4488 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.7) cvn H.B /ANN pdfmark end 2653 4488 a 0 TeXcolorgray 0 TeXcolorgray 0 4665 a SDict begin H.S end 0 4665 a Fu([Mon08])319 4665 y SDict begin 13.6 H.A end 319 4665 a 319 4665 a SDict begin [/View [/XYZ H.V]/Dest (cite.MontanariSparse) cvn /DEST pdfmark end 319 4665 a 0 TeXcolorgray 225 w Fu(Andrea)38 b(Mon)m(tanari,)j Fh(Estimating)f(r)-5 b(andom)43 b(variables)e(fr)-5 b(om)41 b(r)-5 b(andom)42 b(sp)-5 b(arse)42 b(observations)p Fu(,)544 4778 y(Europ)s(ean)29 b(T)-8 b(ransactions)30 b(on)g(T)-8 b(elecomm)m(unications)30 b Fi(19)h Fu(\(2008\),)i (385{403.)p BrickRed 3278 4778 a SDict begin H.S end 3278 4778 a BrickRed Fu(1)p BrickRed 3323 4719 a SDict begin H.R end 3323 4719 a 3323 4778 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 3323 4778 a 0 TeXcolorgray Fu(,)p BrickRed 3379 4778 a SDict begin H.S end 3379 4778 a BrickRed Fu(2)p BrickRed 3424 4719 a SDict begin H.R end 3424 4719 a 3424 4778 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.2) cvn H.B /ANN pdfmark end 3424 4778 a 0 TeXcolorgray 0 TeXcolorgray 0 4955 a SDict begin H.S end 0 4955 a Fu([R)-8 b(T12])265 4955 y SDict begin 13.6 H.A end 265 4955 a 265 4955 a SDict begin [/View [/XYZ H.V]/Dest (cite.raghavendra2012approximating) cvn /DEST pdfmark end 265 4955 a 0 TeXcolorgray 279 w Fu(Prasad)32 b(Ragha)m(v)m(endra)i(and)e(Ning)g(T)-8 b(an,)33 b Fh(Appr)-5 b(oximating)37 b(csps)f(with)f(glob)-5 b(al)36 b(c)-5 b(ar)g(dinality)38 b(c)-5 b(on-)544 5068 y(str)g(aints)43 b(using)e(sdp)h(hier)-5 b(ar)g(chies)p Fu(,)44 b(Pro)s(ceedings)39 b(of)h(the)g(t)m(w)m(en)m(t)m(y-third)g(ann)m(ual)f(A)m(CM-SIAM)544 5181 y(symp)s(osium)27 b(on)k(Discrete)g(Algorithms,)e(SIAM,)h(2012,)j (pp.)c(373{387.)p BrickRed 3065 5181 a SDict begin H.S end 3065 5181 a BrickRed Fu(1)p BrickRed 3110 5123 a SDict begin H.R end 3110 5123 a 3110 5181 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 0]BorderArrayPatch/Subtype /Link/Dest (page.1) cvn H.B /ANN pdfmark end 3110 5181 a 0 TeXcolorgray 0 TeXcolorgray 1927 5499 a Fu(8)p 0 TeXcolorgray eop end end %%Trailer end userdict /end-hook known{end-hook}if %%EOF